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Finding the Fourth Proportional to 562.68, 776.12 and 516.22

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Solution

The fourth proportional to 562.68, 776.12 and 516.22 is: 712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 776.12 = 516.22 : x
  2. Step 2: Convert to fraction form
    562.68/776.12 = 516.22/x
  3. Step 3: Cross multiply
    562.68x = 776.12 × 516.22
  4. Step 4: Simplify right side
    562.68x = 400,644.15
  5. Step 5: Solve for x
    x = 400,644.15/562.68
  6. Step 6: Final answer
    x = 712.03

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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.