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correspond to something

to match up with something; to harmonize with something. This pin on this part corresponds to the receptacle on the other part it fits into.
See also: correspond

correspond with someone (about someone or something)

 and correspond (with someone) about someone or something
to write letters back and forth with someone about someone or something. I will have to correspond with the manager about that. I corresponded about this with my brother. I corresponded with my brother for over a year. We corresponded about Fred.
See also: correspond
References in classic literature ?
And that there may be less difficulty in understanding what I am about to say on this subject, I advise those who are not versed in anatomy, before they commence the perusal of these observations, to take the trouble of getting dissected in their presence the heart of some large animal possessed of lungs (for this is throughout sufficiently like the human), and to have shown to them its two ventricles or cavities: in the first place, that in the right side, with which correspond two very ample tubes, viz.
Though facts may not always correspond with this presumption, yet if it be, in the main, just, it must destroy the supposition that the Senate, who will merely sanction the choice of the Executive, should feel a bias, towards the objects of that choice, strong enough to blind them to the evidences of guilt so extraordinary, as to have induced the representatives of the nation to become its accusers.
Not only many of the officers of government, who obeyed the dictates of personal interest, but others, from a mistaken estimate of consequences, or the undue influence of former attachments, or whose ambition aimed at objects which did not correspond with the public good, were indefatigable in their efforts to pursuade the people to reject the advice of that patriotic Congress.
But we may form very mistaken ideas on this subject, if we do not call to mind in our calculations, that the extent of revenue drawn from foreign commerce must vary with the variations, both in the extent and the kind of imports; and that these variations do not correspond with the progress of population, which must be the general measure of the public wants.
Such fantastic pictures of future society, painted at a time when the proletariat is still in a very undeveloped state and has but a fantastic conception of its own position correspond with the first instinctive yearnings of that class for a general reconstruction of society.
For the rest, he begs his readers not to suppose that every minute detail in the daily life of Flatland must needs correspond to some other detail in Spaceland; and yet he hopes that, taken as a whole, his work may prove suggestive as well as amusing, to those Spacelanders of moderate and modest minds who -- speaking of that which is of the highest importance, but lies beyond experience -- decline to say on the one hand, "This can never be," and on the other hand, "It must needs be precisely thus, and we know all about it.
Porthos comprehended that this chest, although it did not correspond in shape with that which he had seen in his dreams, must be the blessed coffer, and he congratulated himself that the reality was several feet higher than the dream.