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Finding the Fourth Proportional to 411.26, 616.02 and 215.68

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Solution

The fourth proportional to 411.26, 616.02 and 215.68 is: 323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 616.02 = 215.68 : x
  2. Step 2: Convert to fraction form
    411.26/616.02 = 215.68/x
  3. Step 3: Cross multiply
    411.26x = 616.02 × 215.68
  4. Step 4: Simplify right side
    411.26x = 132,863.19
  5. Step 5: Solve for x
    x = 132,863.19/411.26
  6. Step 6: Final answer
    x = 323.06

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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.