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Finding the Fourth Proportional to 477.12, 658.24 and 329.68

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Solution

The fourth proportional to 477.12, 658.24 and 329.68 is: 454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 658.24 = 329.68 : x
  2. Step 2: Convert to fraction form
    477.12/658.24 = 329.68/x
  3. Step 3: Cross multiply
    477.12x = 658.24 × 329.68
  4. Step 4: Simplify right side
    477.12x = 217,008.56
  5. Step 5: Solve for x
    x = 217,008.56/477.12
  6. Step 6: Final answer
    x = 454.83

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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.