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Finding the Fourth Proportional to 324.44, 447.72 and 193.40

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Solution

The fourth proportional to 324.44, 447.72 and 193.40 is: 266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.44 : 447.72 = 193.40 : x
  2. Step 2: Convert to fraction form
    324.44/447.72 = 193.40/x
  3. Step 3: Cross multiply
    324.44x = 447.72 × 193.40
  4. Step 4: Simplify right side
    324.44x = 86,589.05
  5. Step 5: Solve for x
    x = 86,589.05/324.44
  6. Step 6: Final answer
    x = 266.89

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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.