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Finding the Fourth Proportional to 641.28, 886.08 and 537.60

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Solution

The fourth proportional to 641.28, 886.08 and 537.60 is: 742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.28 : 886.08 = 537.60 : x
  2. Step 2: Convert to fraction form
    641.28/886.08 = 537.60/x
  3. Step 3: Cross multiply
    641.28x = 886.08 × 537.60
  4. Step 4: Simplify right side
    641.28x = 476,356.61
  5. Step 5: Solve for x
    x = 476,356.61/641.28
  6. Step 6: Final answer
    x = 742.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.