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Finding the Fourth Proportional to 409.92, 566 and 396.82

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Solution

The fourth proportional to 409.92, 566 and 396.82 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 566 = 396.82 : x
  2. Step 2: Convert to fraction form
    409.92/566 = 396.82/x
  3. Step 3: Cross multiply
    409.92x = 566 × 396.82
  4. Step 4: Simplify right side
    409.92x = 224,600.12
  5. Step 5: Solve for x
    x = 224,600.12/409.92
  6. Step 6: Final answer
    x = 547.91

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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.