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Finding the Fourth Proportional to 324.82, 486.42 and 216.28

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Solution

The fourth proportional to 324.82, 486.42 and 216.28 is: 323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.82 : 486.42 = 216.28 : x
  2. Step 2: Convert to fraction form
    324.82/486.42 = 216.28/x
  3. Step 3: Cross multiply
    324.82x = 486.42 × 216.28
  4. Step 4: Simplify right side
    324.82x = 105,202.92
  5. Step 5: Solve for x
    x = 105,202.92/324.82
  6. Step 6: Final answer
    x = 323.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.