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Finding the Fourth Proportional to 627.20, 865.52 and 378.48

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Solution

The fourth proportional to 627.20, 865.52 and 378.48 is: 522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.20 : 865.52 = 378.48 : x
  2. Step 2: Convert to fraction form
    627.20/865.52 = 378.48/x
  3. Step 3: Cross multiply
    627.20x = 865.52 × 378.48
  4. Step 4: Simplify right side
    627.20x = 327,582.01
  5. Step 5: Solve for x
    x = 327,582.01/627.20
  6. Step 6: Final answer
    x = 522.29

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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.