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Finding the Fourth Proportional to 627.31, 865.54 and 378.62

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Solution

The fourth proportional to 627.31, 865.54 and 378.62 is: 522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.31 : 865.54 = 378.62 : x
  2. Step 2: Convert to fraction form
    627.31/865.54 = 378.62/x
  3. Step 3: Cross multiply
    627.31x = 865.54 × 378.62
  4. Step 4: Simplify right side
    627.31x = 327,710.75
  5. Step 5: Solve for x
    x = 327,710.75/627.31
  6. Step 6: Final answer
    x = 522.41

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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.