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Finding the Fourth Proportional to 408.74, 563.77 and 284.43

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Solution

The fourth proportional to 408.74, 563.77 and 284.43 is: 392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.74 : 563.77 = 284.43 : x
  2. Step 2: Convert to fraction form
    408.74/563.77 = 284.43/x
  3. Step 3: Cross multiply
    408.74x = 563.77 × 284.43
  4. Step 4: Simplify right side
    408.74x = 160,352.39
  5. Step 5: Solve for x
    x = 160,352.39/408.74
  6. Step 6: Final answer
    x = 392.31

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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.