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Finding the Fourth Proportional to 576.20, 862.76 and 459.86

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Solution

The fourth proportional to 576.20, 862.76 and 459.86 is: 688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.20 : 862.76 = 459.86 : x
  2. Step 2: Convert to fraction form
    576.20/862.76 = 459.86/x
  3. Step 3: Cross multiply
    576.20x = 862.76 × 459.86
  4. Step 4: Simplify right side
    576.20x = 396,748.81
  5. Step 5: Solve for x
    x = 396,748.81/576.20
  6. Step 6: Final answer
    x = 688.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.