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Finding the Fourth Proportional to 408.96, 614.01 and 254.39

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Solution

The fourth proportional to 408.96, 614.01 and 254.39 is: 381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 614.01 = 254.39 : x
  2. Step 2: Convert to fraction form
    408.96/614.01 = 254.39/x
  3. Step 3: Cross multiply
    408.96x = 614.01 × 254.39
  4. Step 4: Simplify right side
    408.96x = 156,194.93
  5. Step 5: Solve for x
    x = 156,194.93/408.96
  6. Step 6: Final answer
    x = 381.93

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Why These Related Problems?

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