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Finding the Fourth Proportional to 627.27, 864.80 and 514.83

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Solution

The fourth proportional to 627.27, 864.80 and 514.83 is: 709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.27 : 864.80 = 514.83 : x
  2. Step 2: Convert to fraction form
    627.27/864.80 = 514.83/x
  3. Step 3: Cross multiply
    627.27x = 864.80 × 514.83
  4. Step 4: Simplify right side
    627.27x = 445,224.98
  5. Step 5: Solve for x
    x = 445,224.98/627.27
  6. Step 6: Final answer
    x = 709.78

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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.