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Finding the Fourth Proportional to 409.76, 565.47 and 232.76

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Solution

The fourth proportional to 409.76, 565.47 and 232.76 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 565.47 = 232.76 : x
  2. Step 2: Convert to fraction form
    409.76/565.47 = 232.76/x
  3. Step 3: Cross multiply
    409.76x = 565.47 × 232.76
  4. Step 4: Simplify right side
    409.76x = 131,615.97
  5. Step 5: Solve for x
    x = 131,615.97/409.76
  6. Step 6: Final answer
    x = 321.21

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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.