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Finding the Fourth Proportional to 641.32, 884.86 and 431.13

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Solution

The fourth proportional to 641.32, 884.86 and 431.13 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.32 : 884.86 = 431.13 : x
  2. Step 2: Convert to fraction form
    641.32/884.86 = 431.13/x
  3. Step 3: Cross multiply
    641.32x = 884.86 × 431.13
  4. Step 4: Simplify right side
    641.32x = 381,489.69
  5. Step 5: Solve for x
    x = 381,489.69/641.32
  6. Step 6: Final answer
    x = 594.85

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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.