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I think that Galadriel foresaw the desire that Boromir had for the ring. In my opinion he was already hungry for it from the time he first saw it. It was just a matter of time.
My thoughts on the matter are fairly similar to BeyondWisdom's...even though he desired the ring to help his people, the weight of this desire was too much for him to overcome, and he was bound by this, even though the initial will was for good.