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Finding the Fourth Proportional to 324.43, 447.42 and 262.24

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Solution

The fourth proportional to 324.43, 447.42 and 262.24 is: 361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.43 : 447.42 = 262.24 : x
  2. Step 2: Convert to fraction form
    324.43/447.42 = 262.24/x
  3. Step 3: Cross multiply
    324.43x = 447.42 × 262.24
  4. Step 4: Simplify right side
    324.43x = 117,331.42
  5. Step 5: Solve for x
    x = 117,331.42/324.43
  6. Step 6: Final answer
    x = 361.65

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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.