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Finding the Fourth Proportional to 411.13, 616.97 and 180.07

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Solution

The fourth proportional to 411.13, 616.97 and 180.07 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.13 : 616.97 = 180.07 : x
  2. Step 2: Convert to fraction form
    411.13/616.97 = 180.07/x
  3. Step 3: Cross multiply
    411.13x = 616.97 × 180.07
  4. Step 4: Simplify right side
    411.13x = 111,099.15
  5. Step 5: Solve for x
    x = 111,099.15/411.13
  6. Step 6: Final answer
    x = 270.23

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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.