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Finding the Fourth Proportional to 326.46, 489.68 and 82.99

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Solution

The fourth proportional to 326.46, 489.68 and 82.99 is: 124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.46 : 489.68 = 82.99 : x
  2. Step 2: Convert to fraction form
    326.46/489.68 = 82.99/x
  3. Step 3: Cross multiply
    326.46x = 489.68 × 82.99
  4. Step 4: Simplify right side
    326.46x = 40,639.05
  5. Step 5: Solve for x
    x = 40,639.05/326.46
  6. Step 6: Final answer
    x = 124.48

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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.