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Finding the Fourth Proportional to 477.17, 658.05 and 311.32

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Solution

The fourth proportional to 477.17, 658.05 and 311.32 is: 429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.17 : 658.05 = 311.32 : x
  2. Step 2: Convert to fraction form
    477.17/658.05 = 311.32/x
  3. Step 3: Cross multiply
    477.17x = 658.05 × 311.32
  4. Step 4: Simplify right side
    477.17x = 204,864.13
  5. Step 5: Solve for x
    x = 204,864.13/477.17
  6. Step 6: Final answer
    x = 429.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.