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Finding the Fourth Proportional to 411.53, 568.37 and 280.31

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Solution

The fourth proportional to 411.53, 568.37 and 280.31 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.53 : 568.37 = 280.31 : x
  2. Step 2: Convert to fraction form
    411.53/568.37 = 280.31/x
  3. Step 3: Cross multiply
    411.53x = 568.37 × 280.31
  4. Step 4: Simplify right side
    411.53x = 159,319.79
  5. Step 5: Solve for x
    x = 159,319.79/411.53
  6. Step 6: Final answer
    x = 387.14

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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.