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Finding the Fourth Proportional to 641.20, 961.38 and 363.56

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Solution

The fourth proportional to 641.20, 961.38 and 363.56 is: 545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.20 : 961.38 = 363.56 : x
  2. Step 2: Convert to fraction form
    641.20/961.38 = 363.56/x
  3. Step 3: Cross multiply
    641.20x = 961.38 × 363.56
  4. Step 4: Simplify right side
    641.20x = 349,519.31
  5. Step 5: Solve for x
    x = 349,519.31/641.20
  6. Step 6: Final answer
    x = 545.10

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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.