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Finding the Fourth Proportional to 411.41, 617.39 and 226.39

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Solution

The fourth proportional to 411.41, 617.39 and 226.39 is: 339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.41 : 617.39 = 226.39 : x
  2. Step 2: Convert to fraction form
    411.41/617.39 = 226.39/x
  3. Step 3: Cross multiply
    411.41x = 617.39 × 226.39
  4. Step 4: Simplify right side
    411.41x = 139,770.92
  5. Step 5: Solve for x
    x = 139,770.92/411.41
  6. Step 6: Final answer
    x = 339.74

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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.