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Finding the Fourth Proportional to 627.86, 864.06 and 516.90

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Solution

The fourth proportional to 627.86, 864.06 and 516.90 is: 711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.86 : 864.06 = 516.90 : x
  2. Step 2: Convert to fraction form
    627.86/864.06 = 516.90/x
  3. Step 3: Cross multiply
    627.86x = 864.06 × 516.90
  4. Step 4: Simplify right side
    627.86x = 446,632.61
  5. Step 5: Solve for x
    x = 446,632.61/627.86
  6. Step 6: Final answer
    x = 711.36

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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.