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Finding the Fourth Proportional to 410.38, 615.44 and 136.42

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Solution

The fourth proportional to 410.38, 615.44 and 136.42 is: 204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.38 : 615.44 = 136.42 : x
  2. Step 2: Convert to fraction form
    410.38/615.44 = 136.42/x
  3. Step 3: Cross multiply
    410.38x = 615.44 × 136.42
  4. Step 4: Simplify right side
    410.38x = 83,958.32
  5. Step 5: Solve for x
    x = 83,958.32/410.38
  6. Step 6: Final answer
    x = 204.59

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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.