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Finding the Fourth Proportional to 321.75, 481.98 and 213.21

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Solution

The fourth proportional to 321.75, 481.98 and 213.21 is: 319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 481.98 = 213.21 : x
  2. Step 2: Convert to fraction form
    321.75/481.98 = 213.21/x
  3. Step 3: Cross multiply
    321.75x = 481.98 × 213.21
  4. Step 4: Simplify right side
    321.75x = 102,762.96
  5. Step 5: Solve for x
    x = 102,762.96/321.75
  6. Step 6: Final answer
    x = 319.39

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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.