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Finding the Fourth Proportional to 627.67, 941.51 and 298.41

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Solution

The fourth proportional to 627.67, 941.51 and 298.41 is: 447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.67 : 941.51 = 298.41 : x
  2. Step 2: Convert to fraction form
    627.67/941.51 = 298.41/x
  3. Step 3: Cross multiply
    627.67x = 941.51 × 298.41
  4. Step 4: Simplify right side
    627.67x = 280,949.80
  5. Step 5: Solve for x
    x = 280,949.80/627.67
  6. Step 6: Final answer
    x = 447.61

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Why These Related Problems?

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