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Finding the Fourth Proportional to 324.54, 447.66 and 226.26

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Solution

The fourth proportional to 324.54, 447.66 and 226.26 is: 312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.54 : 447.66 = 226.26 : x
  2. Step 2: Convert to fraction form
    324.54/447.66 = 226.26/x
  3. Step 3: Cross multiply
    324.54x = 447.66 × 226.26
  4. Step 4: Simplify right side
    324.54x = 101,287.55
  5. Step 5: Solve for x
    x = 101,287.55/324.54
  6. Step 6: Final answer
    x = 312.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.