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Finding the Fourth Proportional to 324.24, 447.57 and 193.38

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Solution

The fourth proportional to 324.24, 447.57 and 193.38 is: 266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 447.57 = 193.38 : x
  2. Step 2: Convert to fraction form
    324.24/447.57 = 193.38/x
  3. Step 3: Cross multiply
    324.24x = 447.57 × 193.38
  4. Step 4: Simplify right side
    324.24x = 86,551.09
  5. Step 5: Solve for x
    x = 86,551.09/324.24
  6. Step 6: Final answer
    x = 266.94

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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.