Question

solve for t in the proportion.
\frac{620}{744} = \frac{420}{t}

t =
submit

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{620}{744}=\frac{420}{t}\), cross - multiplying gives us \(620\times t = 420\times744\).

Step2: Solve for t

First, calculate the right - hand side: \(420\times744 = 420\times(700 + 44)=420\times700+420\times44 = 294000+18480 = 312480\).
Then, we have the equation \(620t=312480\). To solve for \(t\), divide both sides of the equation by 620: \(t=\frac{312480}{620}\).
Simplify the fraction: \(\frac{312480\div20}{620\div20}=\frac{15624}{31}\approx504.0\) (or we can do the division directly: \(312480\div620 = 504\)).

Answer:

\(t = 504\)