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Finding the Fourth Proportional to 326.96, 489.92 and 211.20

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Solution

The fourth proportional to 326.96, 489.92 and 211.20 is: 316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.96 : 489.92 = 211.20 : x
  2. Step 2: Convert to fraction form
    326.96/489.92 = 211.20/x
  3. Step 3: Cross multiply
    326.96x = 489.92 × 211.20
  4. Step 4: Simplify right side
    326.96x = 103,471.10
  5. Step 5: Solve for x
    x = 103,471.10/326.96
  6. Step 6: Final answer
    x = 316.46

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Why These Related Problems?

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