How are the verb "fondre" and the noun la "fondation" related? It looks like the verb is more related to a physical process of state change due to temperature. The noun is more related to creating an institution, society, ... ?
There is no relationship outside the coincidental similarity.
Fondation (foundation) relates to the verb fonder (to found, to base) from the Latin fundāre and not to the verb fondre (to melt, see "foundry") from the Latin fundere.