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Finding the Fourth Proportional to 641.72, 885.96 and 494.66

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Solution

The fourth proportional to 641.72, 885.96 and 494.66 is: 682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.72 : 885.96 = 494.66 : x
  2. Step 2: Convert to fraction form
    641.72/885.96 = 494.66/x
  3. Step 3: Cross multiply
    641.72x = 885.96 × 494.66
  4. Step 4: Simplify right side
    641.72x = 438,248.97
  5. Step 5: Solve for x
    x = 438,248.97/641.72
  6. Step 6: Final answer
    x = 682.93

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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.