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Finding the Fourth Proportional to 641.88, 884.92 and 431.68

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Solution

The fourth proportional to 641.88, 884.92 and 431.68 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.88 : 884.92 = 431.68 : x
  2. Step 2: Convert to fraction form
    641.88/884.92 = 431.68/x
  3. Step 3: Cross multiply
    641.88x = 884.92 × 431.68
  4. Step 4: Simplify right side
    641.88x = 382,002.27
  5. Step 5: Solve for x
    x = 382,002.27/641.88
  6. Step 6: Final answer
    x = 595.13

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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.