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Finding the Fourth Proportional to 627.20, 940 and 298.13

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Solution

The fourth proportional to 627.20, 940 and 298.13 is: 446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.20 : 940 = 298.13 : x
  2. Step 2: Convert to fraction form
    627.20/940 = 298.13/x
  3. Step 3: Cross multiply
    627.20x = 940 × 298.13
  4. Step 4: Simplify right side
    627.20x = 280,242.20
  5. Step 5: Solve for x
    x = 280,242.20/627.20
  6. Step 6: Final answer
    x = 446.81

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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.