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Finding the Fourth Proportional to 442.60, 664.22 and 226.12

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Solution

The fourth proportional to 442.60, 664.22 and 226.12 is: 339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 664.22 = 226.12 : x
  2. Step 2: Convert to fraction form
    442.60/664.22 = 226.12/x
  3. Step 3: Cross multiply
    442.60x = 664.22 × 226.12
  4. Step 4: Simplify right side
    442.60x = 150,193.43
  5. Step 5: Solve for x
    x = 150,193.43/442.60
  6. Step 6: Final answer
    x = 339.34

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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.