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Finding the Fourth Proportional to 412.28, 568.84 and 254.92

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Solution

The fourth proportional to 412.28, 568.84 and 254.92 is: 351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.28 : 568.84 = 254.92 : x
  2. Step 2: Convert to fraction form
    412.28/568.84 = 254.92/x
  3. Step 3: Cross multiply
    412.28x = 568.84 × 254.92
  4. Step 4: Simplify right side
    412.28x = 145,008.69
  5. Step 5: Solve for x
    x = 145,008.69/412.28
  6. Step 6: Final answer
    x = 351.72

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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.