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Finding the Fourth Proportional to 627.72, 866.37 and 379.07

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Solution

The fourth proportional to 627.72, 866.37 and 379.07 is: 523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.72 : 866.37 = 379.07 : x
  2. Step 2: Convert to fraction form
    627.72/866.37 = 379.07/x
  3. Step 3: Cross multiply
    627.72x = 866.37 × 379.07
  4. Step 4: Simplify right side
    627.72x = 328,414.88
  5. Step 5: Solve for x
    x = 328,414.88/627.72
  6. Step 6: Final answer
    x = 523.19

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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.