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Finding the Fourth Proportional to 326.47, 489.71 and 83

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Solution

The fourth proportional to 326.47, 489.71 and 83 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.47 : 489.71 = 83 : x
  2. Step 2: Convert to fraction form
    326.47/489.71 = 83/x
  3. Step 3: Cross multiply
    326.47x = 489.71 × 83
  4. Step 4: Simplify right side
    326.47x = 40,645.93
  5. Step 5: Solve for x
    x = 40,645.93/326.47
  6. Step 6: Final answer
    x = 124.50

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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.