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Finding the Fourth Proportional to 324.45, 447.75 and 193.46

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Solution

The fourth proportional to 324.45, 447.75 and 193.46 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.45 : 447.75 = 193.46 : x
  2. Step 2: Convert to fraction form
    324.45/447.75 = 193.46/x
  3. Step 3: Cross multiply
    324.45x = 447.75 × 193.46
  4. Step 4: Simplify right side
    324.45x = 86,619.48
  5. Step 5: Solve for x
    x = 86,619.48/324.45
  6. Step 6: Final answer
    x = 266.97

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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.