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Finding the Fourth Proportional to 403.80, 605.38 and 198.46

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Solution

The fourth proportional to 403.80, 605.38 and 198.46 is: 297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 605.38 = 198.46 : x
  2. Step 2: Convert to fraction form
    403.80/605.38 = 198.46/x
  3. Step 3: Cross multiply
    403.80x = 605.38 × 198.46
  4. Step 4: Simplify right side
    403.80x = 120,143.71
  5. Step 5: Solve for x
    x = 120,143.71/403.80
  6. Step 6: Final answer
    x = 297.53

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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.