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Finding the Fourth Proportional to 408, 563.07 and 252.78

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Solution

The fourth proportional to 408, 563.07 and 252.78 is: 348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 563.07 = 252.78 : x
  2. Step 2: Convert to fraction form
    408/563.07 = 252.78/x
  3. Step 3: Cross multiply
    408x = 563.07 × 252.78
  4. Step 4: Simplify right side
    408x = 142,332.83
  5. Step 5: Solve for x
    x = 142,332.83/408
  6. Step 6: Final answer
    x = 348.85

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Why These Related Problems?

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