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Finding the Fourth Proportional to 409.53, 565.13 and 234.87

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Solution

The fourth proportional to 409.53, 565.13 and 234.87 is: 324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 565.13 = 234.87 : x
  2. Step 2: Convert to fraction form
    409.53/565.13 = 234.87/x
  3. Step 3: Cross multiply
    409.53x = 565.13 × 234.87
  4. Step 4: Simplify right side
    409.53x = 132,730.91
  5. Step 5: Solve for x
    x = 132,730.91/409.53
  6. Step 6: Final answer
    x = 324.11

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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.