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Finding the Fourth Proportional to 324.56, 487.12 and 252.56

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Solution

The fourth proportional to 324.56, 487.12 and 252.56 is: 379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.56 : 487.12 = 252.56 : x
  2. Step 2: Convert to fraction form
    324.56/487.12 = 252.56/x
  3. Step 3: Cross multiply
    324.56x = 487.12 × 252.56
  4. Step 4: Simplify right side
    324.56x = 123,027.03
  5. Step 5: Solve for x
    x = 123,027.03/324.56
  6. Step 6: Final answer
    x = 379.06

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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.