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Finding the Fourth Proportional to 477.74, 658.14 and 337.70

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Solution

The fourth proportional to 477.74, 658.14 and 337.70 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.74 : 658.14 = 337.70 : x
  2. Step 2: Convert to fraction form
    477.74/658.14 = 337.70/x
  3. Step 3: Cross multiply
    477.74x = 658.14 × 337.70
  4. Step 4: Simplify right side
    477.74x = 222,253.88
  5. Step 5: Solve for x
    x = 222,253.88/477.74
  6. Step 6: Final answer
    x = 465.22

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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.