Có: \(4x=3y\Leftrightarrow\frac{x}{3}=\frac{y}{4}\)
\(5y=4t\Leftrightarrow\frac{y}{4}=\frac{t}{5}\)
\(\Rightarrow\frac{x}{3}=\frac{y}{4}=\frac{t}{5}\)
Đặt: \(\frac{x}{3}=\frac{y}{4}=\frac{t}{5}=k\)
\(\Rightarrow\hept{\begin{cases}x=3k\\y=4k\\t=5k\end{cases}}\)
\(\Rightarrow xyt=3k.4k.5k=60k^3=480\)
\(\Rightarrow k^3=8\Rightarrow k=\sqrt[3]{8}=2\)
\(\Rightarrow\hept{\begin{cases}x=2.3=6\\y=2.4=8\\t=2.5=10\end{cases}}\)
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