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Finding the Fourth Proportional to 363.54, 547.16 and 272.70

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Solution

The fourth proportional to 363.54, 547.16 and 272.70 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.54 : 547.16 = 272.70 : x
  2. Step 2: Convert to fraction form
    363.54/547.16 = 272.70/x
  3. Step 3: Cross multiply
    363.54x = 547.16 × 272.70
  4. Step 4: Simplify right side
    363.54x = 149,209.17
  5. Step 5: Solve for x
    x = 149,209.17/363.54
  6. Step 6: Final answer
    x = 410.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.