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Finding the Fourth Proportional to 409.28, 564.24 and 298.76

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Solution

The fourth proportional to 409.28, 564.24 and 298.76 is: 411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.28 : 564.24 = 298.76 : x
  2. Step 2: Convert to fraction form
    409.28/564.24 = 298.76/x
  3. Step 3: Cross multiply
    409.28x = 564.24 × 298.76
  4. Step 4: Simplify right side
    409.28x = 168,572.34
  5. Step 5: Solve for x
    x = 168,572.34/409.28
  6. Step 6: Final answer
    x = 411.88

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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.