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Finding the Fourth Proportional to 627.46, 865.89 and 378.73

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Solution

The fourth proportional to 627.46, 865.89 and 378.73 is: 522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.46 : 865.89 = 378.73 : x
  2. Step 2: Convert to fraction form
    627.46/865.89 = 378.73/x
  3. Step 3: Cross multiply
    627.46x = 865.89 × 378.73
  4. Step 4: Simplify right side
    627.46x = 327,938.52
  5. Step 5: Solve for x
    x = 327,938.52/627.46
  6. Step 6: Final answer
    x = 522.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.