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Finding the Fourth Proportional to 403.81, 605.64 and 198.31

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Solution

The fourth proportional to 403.81, 605.64 and 198.31 is: 297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.81 : 605.64 = 198.31 : x
  2. Step 2: Convert to fraction form
    403.81/605.64 = 198.31/x
  3. Step 3: Cross multiply
    403.81x = 605.64 × 198.31
  4. Step 4: Simplify right side
    403.81x = 120,102.95
  5. Step 5: Solve for x
    x = 120,102.95/403.81
  6. Step 6: Final answer
    x = 297.43

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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.