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Finding the Fourth Proportional to 408.48, 611.54 and 271.11

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Solution

The fourth proportional to 408.48, 611.54 and 271.11 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.48 : 611.54 = 271.11 : x
  2. Step 2: Convert to fraction form
    408.48/611.54 = 271.11/x
  3. Step 3: Cross multiply
    408.48x = 611.54 × 271.11
  4. Step 4: Simplify right side
    408.48x = 165,793.25
  5. Step 5: Solve for x
    x = 165,793.25/408.48
  6. Step 6: Final answer
    x = 405.88

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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.