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Finding the Fourth Proportional to 411.91, 618.14 and 226.89

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Solution

The fourth proportional to 411.91, 618.14 and 226.89 is: 340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 618.14 = 226.89 : x
  2. Step 2: Convert to fraction form
    411.91/618.14 = 226.89/x
  3. Step 3: Cross multiply
    411.91x = 618.14 × 226.89
  4. Step 4: Simplify right side
    411.91x = 140,249.78
  5. Step 5: Solve for x
    x = 140,249.78/411.91
  6. Step 6: Final answer
    x = 340.49

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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.