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Finding the Fourth Proportional to 404.12, 605.81 and 198.68

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Solution

The fourth proportional to 404.12, 605.81 and 198.68 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.12 : 605.81 = 198.68 : x
  2. Step 2: Convert to fraction form
    404.12/605.81 = 198.68/x
  3. Step 3: Cross multiply
    404.12x = 605.81 × 198.68
  4. Step 4: Simplify right side
    404.12x = 120,359.80
  5. Step 5: Solve for x
    x = 120,359.80/404.12
  6. Step 6: Final answer
    x = 297.83

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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.