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Finding the Fourth Proportional to 403.62, 605.51 and 129.90

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Solution

The fourth proportional to 403.62, 605.51 and 129.90 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.62 : 605.51 = 129.90 : x
  2. Step 2: Convert to fraction form
    403.62/605.51 = 129.90/x
  3. Step 3: Cross multiply
    403.62x = 605.51 × 129.90
  4. Step 4: Simplify right side
    403.62x = 78,658.59
  5. Step 5: Solve for x
    x = 78,658.59/403.62
  6. Step 6: Final answer
    x = 194.88

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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.