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Finding the Fourth Proportional to 321.96, 444.20 and 211.50

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Solution

The fourth proportional to 321.96, 444.20 and 211.50 is: 291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 444.20 = 211.50 : x
  2. Step 2: Convert to fraction form
    321.96/444.20 = 211.50/x
  3. Step 3: Cross multiply
    321.96x = 444.20 × 211.50
  4. Step 4: Simplify right side
    321.96x = 93,948.30
  5. Step 5: Solve for x
    x = 93,948.30/321.96
  6. Step 6: Final answer
    x = 291.80

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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.