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Finding the Fourth Proportional to 408.61, 563.87 and 233.96

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Solution

The fourth proportional to 408.61, 563.87 and 233.96 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.61 : 563.87 = 233.96 : x
  2. Step 2: Convert to fraction form
    408.61/563.87 = 233.96/x
  3. Step 3: Cross multiply
    408.61x = 563.87 × 233.96
  4. Step 4: Simplify right side
    408.61x = 131,921.86
  5. Step 5: Solve for x
    x = 131,921.86/408.61
  6. Step 6: Final answer
    x = 322.86

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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.