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Finding the Fourth Proportional to 408.80, 564.16 and 234.16

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Solution

The fourth proportional to 408.80, 564.16 and 234.16 is: 323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 564.16 = 234.16 : x
  2. Step 2: Convert to fraction form
    408.80/564.16 = 234.16/x
  3. Step 3: Cross multiply
    408.80x = 564.16 × 234.16
  4. Step 4: Simplify right side
    408.80x = 132,103.71
  5. Step 5: Solve for x
    x = 132,103.71/408.80
  6. Step 6: Final answer
    x = 323.15

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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.