Finding the Fourth Proportional to 472.96, 709.25 and 278.36
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Solution
The fourth proportional to 472.96, 709.25 and 278.36 is: 417.42
Step by Step Solution
- Step 1: Write the proportion equation
472.96 : 709.25 = 278.36 : x - Step 2: Convert to fraction form
472.96/709.25 = 278.36/x - Step 3: Cross multiply
472.96x = 709.25 × 278.36 - Step 4: Simplify right side
472.96x = 197,423.98 - Step 5: Solve for x
x = 197,423.98/472.96 - Step 6: Final answer
x = 417.42
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.