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Finding the Fourth Proportional to 408.25, 563.39 and 233.61

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Solution

The fourth proportional to 408.25, 563.39 and 233.61 is: 322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.25 : 563.39 = 233.61 : x
  2. Step 2: Convert to fraction form
    408.25/563.39 = 233.61/x
  3. Step 3: Cross multiply
    408.25x = 563.39 × 233.61
  4. Step 4: Simplify right side
    408.25x = 131,613.54
  5. Step 5: Solve for x
    x = 131,613.54/408.25
  6. Step 6: Final answer
    x = 322.38

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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.