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Finding the Fourth Proportional to 409.36, 564.92 and 234.71

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Solution

The fourth proportional to 409.36, 564.92 and 234.71 is: 323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.36 : 564.92 = 234.71 : x
  2. Step 2: Convert to fraction form
    409.36/564.92 = 234.71/x
  3. Step 3: Cross multiply
    409.36x = 564.92 × 234.71
  4. Step 4: Simplify right side
    409.36x = 132,592.37
  5. Step 5: Solve for x
    x = 132,592.37/409.36
  6. Step 6: Final answer
    x = 323.90

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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.