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Finding the Fourth Proportional to 408.57, 563.80 and 233.91

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Solution

The fourth proportional to 408.57, 563.80 and 233.91 is: 322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 563.80 = 233.91 : x
  2. Step 2: Convert to fraction form
    408.57/563.80 = 233.91/x
  3. Step 3: Cross multiply
    408.57x = 563.80 × 233.91
  4. Step 4: Simplify right side
    408.57x = 131,878.46
  5. Step 5: Solve for x
    x = 131,878.46/408.57
  6. Step 6: Final answer
    x = 322.78

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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.