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Finding the Fourth Proportional to 658.52, 908.85 and 378.75

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Solution

The fourth proportional to 658.52, 908.85 and 378.75 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.52 : 908.85 = 378.75 : x
  2. Step 2: Convert to fraction form
    658.52/908.85 = 378.75/x
  3. Step 3: Cross multiply
    658.52x = 908.85 × 378.75
  4. Step 4: Simplify right side
    658.52x = 344,231.13
  5. Step 5: Solve for x
    x = 344,231.13/658.52
  6. Step 6: Final answer
    x = 522.73

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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.