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Finding the Fourth Proportional to 477.41, 658.17 and 467.06

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Solution

The fourth proportional to 477.41, 658.17 and 467.06 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.41 : 658.17 = 467.06 : x
  2. Step 2: Convert to fraction form
    477.41/658.17 = 467.06/x
  3. Step 3: Cross multiply
    477.41x = 658.17 × 467.06
  4. Step 4: Simplify right side
    477.41x = 307,404.88
  5. Step 5: Solve for x
    x = 307,404.88/477.41
  6. Step 6: Final answer
    x = 643.90

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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.