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Finding the Fourth Proportional to 576.64, 862.80 and 516.70

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Solution

The fourth proportional to 576.64, 862.80 and 516.70 is: 773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.64 : 862.80 = 516.70 : x
  2. Step 2: Convert to fraction form
    576.64/862.80 = 516.70/x
  3. Step 3: Cross multiply
    576.64x = 862.80 × 516.70
  4. Step 4: Simplify right side
    576.64x = 445,808.76
  5. Step 5: Solve for x
    x = 445,808.76/576.64
  6. Step 6: Final answer
    x = 773.11

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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.