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Finding the Fourth Proportional to 627.69, 866.03 and 406.29

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Solution

The fourth proportional to 627.69, 866.03 and 406.29 is: 560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.69 : 866.03 = 406.29 : x
  2. Step 2: Convert to fraction form
    627.69/866.03 = 406.29/x
  3. Step 3: Cross multiply
    627.69x = 866.03 × 406.29
  4. Step 4: Simplify right side
    627.69x = 351,857.30
  5. Step 5: Solve for x
    x = 351,857.30/627.69
  6. Step 6: Final answer
    x = 560.56

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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.