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Finding the Fourth Proportional to 321.12, 481.64 and 213.56

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Solution

The fourth proportional to 321.12, 481.64 and 213.56 is: 320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.12 : 481.64 = 213.56 : x
  2. Step 2: Convert to fraction form
    321.12/481.64 = 213.56/x
  3. Step 3: Cross multiply
    321.12x = 481.64 × 213.56
  4. Step 4: Simplify right side
    321.12x = 102,859.04
  5. Step 5: Solve for x
    x = 102,859.04/321.12
  6. Step 6: Final answer
    x = 320.31

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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.