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Finding the Fourth Proportional to 409.89, 565.59 and 232.84

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Solution

The fourth proportional to 409.89, 565.59 and 232.84 is: 321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.89 : 565.59 = 232.84 : x
  2. Step 2: Convert to fraction form
    409.89/565.59 = 232.84/x
  3. Step 3: Cross multiply
    409.89x = 565.59 × 232.84
  4. Step 4: Simplify right side
    409.89x = 131,691.98
  5. Step 5: Solve for x
    x = 131,691.98/409.89
  6. Step 6: Final answer
    x = 321.29

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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.