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Finding the Fourth Proportional to 641.78, 885.90 and 494.24

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Solution

The fourth proportional to 641.78, 885.90 and 494.24 is: 682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.78 : 885.90 = 494.24 : x
  2. Step 2: Convert to fraction form
    641.78/885.90 = 494.24/x
  3. Step 3: Cross multiply
    641.78x = 885.90 × 494.24
  4. Step 4: Simplify right side
    641.78x = 437,847.22
  5. Step 5: Solve for x
    x = 437,847.22/641.78
  6. Step 6: Final answer
    x = 682.24

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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.