Finding the Fourth Proportional to 538.92, 743.67 and 306
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Solution
The fourth proportional to 538.92, 743.67 and 306 is: 422.26
Step by Step Solution
- Step 1: Write the proportion equation
538.92 : 743.67 = 306 : x - Step 2: Convert to fraction form
538.92/743.67 = 306/x - Step 3: Cross multiply
538.92x = 743.67 × 306 - Step 4: Simplify right side
538.92x = 227,563.02 - Step 5: Solve for x
x = 227,563.02/538.92 - Step 6: Final answer
x = 422.26
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.