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Finding the Fourth Proportional to 411.27, 567.74 and 280.96

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Solution

The fourth proportional to 411.27, 567.74 and 280.96 is: 387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 567.74 = 280.96 : x
  2. Step 2: Convert to fraction form
    411.27/567.74 = 280.96/x
  3. Step 3: Cross multiply
    411.27x = 567.74 × 280.96
  4. Step 4: Simplify right side
    411.27x = 159,512.23
  5. Step 5: Solve for x
    x = 159,512.23/411.27
  6. Step 6: Final answer
    x = 387.85

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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.