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Finding the Fourth Proportional to 477.32, 715.92 and 271.24

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Solution

The fourth proportional to 477.32, 715.92 and 271.24 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 715.92 = 271.24 : x
  2. Step 2: Convert to fraction form
    477.32/715.92 = 271.24/x
  3. Step 3: Cross multiply
    477.32x = 715.92 × 271.24
  4. Step 4: Simplify right side
    477.32x = 194,186.14
  5. Step 5: Solve for x
    x = 194,186.14/477.32
  6. Step 6: Final answer
    x = 406.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.