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Finding the Fourth Proportional to 627.43, 865.71 and 378.64

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Solution

The fourth proportional to 627.43, 865.71 and 378.64 is: 522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.43 : 865.71 = 378.64 : x
  2. Step 2: Convert to fraction form
    627.43/865.71 = 378.64/x
  3. Step 3: Cross multiply
    627.43x = 865.71 × 378.64
  4. Step 4: Simplify right side
    627.43x = 327,792.43
  5. Step 5: Solve for x
    x = 327,792.43/627.43
  6. Step 6: Final answer
    x = 522.44

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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.