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Finding the Fourth Proportional to 641.38, 961.70 and 349.24

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Solution

The fourth proportional to 641.38, 961.70 and 349.24 is: 523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.38 : 961.70 = 349.24 : x
  2. Step 2: Convert to fraction form
    641.38/961.70 = 349.24/x
  3. Step 3: Cross multiply
    641.38x = 961.70 × 349.24
  4. Step 4: Simplify right side
    641.38x = 335,864.11
  5. Step 5: Solve for x
    x = 335,864.11/641.38
  6. Step 6: Final answer
    x = 523.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.