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Finding the Fourth Proportional to 409.57, 565.18 and 234.91

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Solution

The fourth proportional to 409.57, 565.18 and 234.91 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.57 : 565.18 = 234.91 : x
  2. Step 2: Convert to fraction form
    409.57/565.18 = 234.91/x
  3. Step 3: Cross multiply
    409.57x = 565.18 × 234.91
  4. Step 4: Simplify right side
    409.57x = 132,766.43
  5. Step 5: Solve for x
    x = 132,766.43/409.57
  6. Step 6: Final answer
    x = 324.16

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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.