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Finding the Fourth Proportional to 410.44, 615.73 and 136.47

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Solution

The fourth proportional to 410.44, 615.73 and 136.47 is: 204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.44 : 615.73 = 136.47 : x
  2. Step 2: Convert to fraction form
    410.44/615.73 = 136.47/x
  3. Step 3: Cross multiply
    410.44x = 615.73 × 136.47
  4. Step 4: Simplify right side
    410.44x = 84,027.99
  5. Step 5: Solve for x
    x = 84,027.99/410.44
  6. Step 6: Final answer
    x = 204.73

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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.