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Finding the Fourth Proportional to 641.73, 886.47 and 496.20

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Solution

The fourth proportional to 641.73, 886.47 and 496.20 is: 685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.73 : 886.47 = 496.20 : x
  2. Step 2: Convert to fraction form
    641.73/886.47 = 496.20/x
  3. Step 3: Cross multiply
    641.73x = 886.47 × 496.20
  4. Step 4: Simplify right side
    641.73x = 439,863.93
  5. Step 5: Solve for x
    x = 439,863.93/641.73
  6. Step 6: Final answer
    x = 685.43

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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.