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Finding the Fourth Proportional to 411.38, 616.70 and 151.23

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Solution

The fourth proportional to 411.38, 616.70 and 151.23 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.38 : 616.70 = 151.23 : x
  2. Step 2: Convert to fraction form
    411.38/616.70 = 151.23/x
  3. Step 3: Cross multiply
    411.38x = 616.70 × 151.23
  4. Step 4: Simplify right side
    411.38x = 93,263.54
  5. Step 5: Solve for x
    x = 93,263.54/411.38
  6. Step 6: Final answer
    x = 226.71

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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.