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Finding the Fourth Proportional to 403.41, 605.13 and 129.42

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Solution

The fourth proportional to 403.41, 605.13 and 129.42 is: 194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.41 : 605.13 = 129.42 : x
  2. Step 2: Convert to fraction form
    403.41/605.13 = 129.42/x
  3. Step 3: Cross multiply
    403.41x = 605.13 × 129.42
  4. Step 4: Simplify right side
    403.41x = 78,315.92
  5. Step 5: Solve for x
    x = 78,315.92/403.41
  6. Step 6: Final answer
    x = 194.13

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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.