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Finding the Fourth Proportional to 324.72, 448.04 and 226.48

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Solution

The fourth proportional to 324.72, 448.04 and 226.48 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.72 : 448.04 = 226.48 : x
  2. Step 2: Convert to fraction form
    324.72/448.04 = 226.48/x
  3. Step 3: Cross multiply
    324.72x = 448.04 × 226.48
  4. Step 4: Simplify right side
    324.72x = 101,472.10
  5. Step 5: Solve for x
    x = 101,472.10/324.72
  6. Step 6: Final answer
    x = 312.49

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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.