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Finding the Fourth Proportional to 324.09, 446.99 and 231.14

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Solution

The fourth proportional to 324.09, 446.99 and 231.14 is: 318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 446.99 = 231.14 : x
  2. Step 2: Convert to fraction form
    324.09/446.99 = 231.14/x
  3. Step 3: Cross multiply
    324.09x = 446.99 × 231.14
  4. Step 4: Simplify right side
    324.09x = 103,317.23
  5. Step 5: Solve for x
    x = 103,317.23/324.09
  6. Step 6: Final answer
    x = 318.79

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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.