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Finding the Fourth Proportional to 324.36, 447.38 and 226.14

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Solution

The fourth proportional to 324.36, 447.38 and 226.14 is: 311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.36 : 447.38 = 226.14 : x
  2. Step 2: Convert to fraction form
    324.36/447.38 = 226.14/x
  3. Step 3: Cross multiply
    324.36x = 447.38 × 226.14
  4. Step 4: Simplify right side
    324.36x = 101,170.51
  5. Step 5: Solve for x
    x = 101,170.51/324.36
  6. Step 6: Final answer
    x = 311.91

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Why These Related Problems?

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