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Finding the Fourth Proportional to 627.31, 939.73 and 410.23

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Solution

The fourth proportional to 627.31, 939.73 and 410.23 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.31 : 939.73 = 410.23 : x
  2. Step 2: Convert to fraction form
    627.31/939.73 = 410.23/x
  3. Step 3: Cross multiply
    627.31x = 939.73 × 410.23
  4. Step 4: Simplify right side
    627.31x = 385,505.44
  5. Step 5: Solve for x
    x = 385,505.44/627.31
  6. Step 6: Final answer
    x = 614.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.