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Finding the Fourth Proportional to 576.10, 862.78 and 315.72

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Solution

The fourth proportional to 576.10, 862.78 and 315.72 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.10 : 862.78 = 315.72 : x
  2. Step 2: Convert to fraction form
    576.10/862.78 = 315.72/x
  3. Step 3: Cross multiply
    576.10x = 862.78 × 315.72
  4. Step 4: Simplify right side
    576.10x = 272,396.90
  5. Step 5: Solve for x
    x = 272,396.90/576.10
  6. Step 6: Final answer
    x = 472.83

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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.