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Finding the Fourth Proportional to 324.25, 447.43 and 189.66

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Solution

The fourth proportional to 324.25, 447.43 and 189.66 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.25 : 447.43 = 189.66 : x
  2. Step 2: Convert to fraction form
    324.25/447.43 = 189.66/x
  3. Step 3: Cross multiply
    324.25x = 447.43 × 189.66
  4. Step 4: Simplify right side
    324.25x = 84,858.63
  5. Step 5: Solve for x
    x = 84,858.63/324.25
  6. Step 6: Final answer
    x = 261.71

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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.