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Finding the Fourth Proportional to 326.53, 489.79 and 83.05

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Solution

The fourth proportional to 326.53, 489.79 and 83.05 is: 124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.53 : 489.79 = 83.05 : x
  2. Step 2: Convert to fraction form
    326.53/489.79 = 83.05/x
  3. Step 3: Cross multiply
    326.53x = 489.79 × 83.05
  4. Step 4: Simplify right side
    326.53x = 40,677.06
  5. Step 5: Solve for x
    x = 40,677.06/326.53
  6. Step 6: Final answer
    x = 124.57

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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.