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Finding the Fourth Proportional to 627.97, 941.39 and 298.71

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Solution

The fourth proportional to 627.97, 941.39 and 298.71 is: 447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.97 : 941.39 = 298.71 : x
  2. Step 2: Convert to fraction form
    627.97/941.39 = 298.71/x
  3. Step 3: Cross multiply
    627.97x = 941.39 × 298.71
  4. Step 4: Simplify right side
    627.97x = 281,197.90
  5. Step 5: Solve for x
    x = 281,197.90/627.97
  6. Step 6: Final answer
    x = 447.79

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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.