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Finding the Fourth Proportional to 408.57, 563.63 and 251.13

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Solution

The fourth proportional to 408.57, 563.63 and 251.13 is: 346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 563.63 = 251.13 : x
  2. Step 2: Convert to fraction form
    408.57/563.63 = 251.13/x
  3. Step 3: Cross multiply
    408.57x = 563.63 × 251.13
  4. Step 4: Simplify right side
    408.57x = 141,542.62
  5. Step 5: Solve for x
    x = 141,542.62/408.57
  6. Step 6: Final answer
    x = 346.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.