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Finding the Fourth Proportional to 442.64, 664.11 and 226.16

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Solution

The fourth proportional to 442.64, 664.11 and 226.16 is: 339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 664.11 = 226.16 : x
  2. Step 2: Convert to fraction form
    442.64/664.11 = 226.16/x
  3. Step 3: Cross multiply
    442.64x = 664.11 × 226.16
  4. Step 4: Simplify right side
    442.64x = 150,195.12
  5. Step 5: Solve for x
    x = 150,195.12/442.64
  6. Step 6: Final answer
    x = 339.32

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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.