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Finding the Fourth Proportional to 403.25, 605.00 and 129.33

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Solution

The fourth proportional to 403.25, 605.00 and 129.33 is: 194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.25 : 605.00 = 129.33 : x
  2. Step 2: Convert to fraction form
    403.25/605.00 = 129.33/x
  3. Step 3: Cross multiply
    403.25x = 605.00 × 129.33
  4. Step 4: Simplify right side
    403.25x = 78,244.97
  5. Step 5: Solve for x
    x = 78,244.97/403.25
  6. Step 6: Final answer
    x = 194.04

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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.