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Finding the Fourth Proportional to 627.52, 941.20 and 395.68

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Solution

The fourth proportional to 627.52, 941.20 and 395.68 is: 593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.52 : 941.20 = 395.68 : x
  2. Step 2: Convert to fraction form
    627.52/941.20 = 395.68/x
  3. Step 3: Cross multiply
    627.52x = 941.20 × 395.68
  4. Step 4: Simplify right side
    627.52x = 372,414.02
  5. Step 5: Solve for x
    x = 372,414.02/627.52
  6. Step 6: Final answer
    x = 593.47

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