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Finding the Fourth Proportional to 658.53, 908.62 and 378.68

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Solution

The fourth proportional to 658.53, 908.62 and 378.68 is: 522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 908.62 = 378.68 : x
  2. Step 2: Convert to fraction form
    658.53/908.62 = 378.68/x
  3. Step 3: Cross multiply
    658.53x = 908.62 × 378.68
  4. Step 4: Simplify right side
    658.53x = 344,070.73
  5. Step 5: Solve for x
    x = 344,070.73/658.53
  6. Step 6: Final answer
    x = 522.48

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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.