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Finding the Fourth Proportional to 408.77, 564.18 and 234.13

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Solution

The fourth proportional to 408.77, 564.18 and 234.13 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.77 : 564.18 = 234.13 : x
  2. Step 2: Convert to fraction form
    408.77/564.18 = 234.13/x
  3. Step 3: Cross multiply
    408.77x = 564.18 × 234.13
  4. Step 4: Simplify right side
    408.77x = 132,091.46
  5. Step 5: Solve for x
    x = 132,091.46/408.77
  6. Step 6: Final answer
    x = 323.14

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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.