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Finding the Fourth Proportional to 324.26, 447.60 and 193.28

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Solution

The fourth proportional to 324.26, 447.60 and 193.28 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.26 : 447.60 = 193.28 : x
  2. Step 2: Convert to fraction form
    324.26/447.60 = 193.28/x
  3. Step 3: Cross multiply
    324.26x = 447.60 × 193.28
  4. Step 4: Simplify right side
    324.26x = 86,512.13
  5. Step 5: Solve for x
    x = 86,512.13/324.26
  6. Step 6: Final answer
    x = 266.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.