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Finding the Fourth Proportional to 410.32, 615.41 and 136.57

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Solution

The fourth proportional to 410.32, 615.41 and 136.57 is: 204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 615.41 = 136.57 : x
  2. Step 2: Convert to fraction form
    410.32/615.41 = 136.57/x
  3. Step 3: Cross multiply
    410.32x = 615.41 × 136.57
  4. Step 4: Simplify right side
    410.32x = 84,046.54
  5. Step 5: Solve for x
    x = 84,046.54/410.32
  6. Step 6: Final answer
    x = 204.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.