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Finding the Fourth Proportional to 409.35, 564.91 and 234.70

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Solution

The fourth proportional to 409.35, 564.91 and 234.70 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.35 : 564.91 = 234.70 : x
  2. Step 2: Convert to fraction form
    409.35/564.91 = 234.70/x
  3. Step 3: Cross multiply
    409.35x = 564.91 × 234.70
  4. Step 4: Simplify right side
    409.35x = 132,584.38
  5. Step 5: Solve for x
    x = 132,584.38/409.35
  6. Step 6: Final answer
    x = 323.89

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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.