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In a triangle $$ABC$$, let $$E$$ be the midpoint of $$AC$$ and $$F$$ be the midpoint of $$AB$$. The medians $$BE$$ and $$CF$$ intersect at $$G$$. Let $$Y$$ and $$Z$$ be the midpoints of $$BE$$ and $$CF$$ respectively. If the area of triangle $$ABC$$ is $$480$$, find the area of triangle $$GYZ$$.
Correct Answer: 10
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