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Finding the Fourth Proportional to 412.02, 617.49 and 226.80

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Solution

The fourth proportional to 412.02, 617.49 and 226.80 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 617.49 = 226.80 : x
  2. Step 2: Convert to fraction form
    412.02/617.49 = 226.80/x
  3. Step 3: Cross multiply
    412.02x = 617.49 × 226.80
  4. Step 4: Simplify right side
    412.02x = 140,046.73
  5. Step 5: Solve for x
    x = 140,046.73/412.02
  6. Step 6: Final answer
    x = 339.90

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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.