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Finding the Fourth Proportional to 562.24, 842.01 and 516.07

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Solution

The fourth proportional to 562.24, 842.01 and 516.07 is: 772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.24 : 842.01 = 516.07 : x
  2. Step 2: Convert to fraction form
    562.24/842.01 = 516.07/x
  3. Step 3: Cross multiply
    562.24x = 842.01 × 516.07
  4. Step 4: Simplify right side
    562.24x = 434,536.10
  5. Step 5: Solve for x
    x = 434,536.10/562.24
  6. Step 6: Final answer
    x = 772.87

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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.