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Finding the Fourth Proportional to 418.20, 626.84 and 198.70

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Solution

The fourth proportional to 418.20, 626.84 and 198.70 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 626.84 = 198.70 : x
  2. Step 2: Convert to fraction form
    418.20/626.84 = 198.70/x
  3. Step 3: Cross multiply
    418.20x = 626.84 × 198.70
  4. Step 4: Simplify right side
    418.20x = 124,553.11
  5. Step 5: Solve for x
    x = 124,553.11/418.20
  6. Step 6: Final answer
    x = 297.83

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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.