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Finding the Fourth Proportional to 409.13, 564.59 and 234.57

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Solution

The fourth proportional to 409.13, 564.59 and 234.57 is: 323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.13 : 564.59 = 234.57 : x
  2. Step 2: Convert to fraction form
    409.13/564.59 = 234.57/x
  3. Step 3: Cross multiply
    409.13x = 564.59 × 234.57
  4. Step 4: Simplify right side
    409.13x = 132,436.46
  5. Step 5: Solve for x
    x = 132,436.46/409.13
  6. Step 6: Final answer
    x = 323.71

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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.