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Mathematics
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In triangle \(ABC\), \(S\) is a point on side \(BC\) such that \(BS:SC = 1:2\), and \(T\) is a point on side \(AC\) such that \(AT:TC = 4:3\). Let \(U\) be the intersection of \(AS\) and \(BT\). Find \(AU:US\).
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