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Finding the Fourth Proportional to 326.40, 489.61 and 107.04

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Solution

The fourth proportional to 326.40, 489.61 and 107.04 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 489.61 = 107.04 : x
  2. Step 2: Convert to fraction form
    326.40/489.61 = 107.04/x
  3. Step 3: Cross multiply
    326.40x = 489.61 × 107.04
  4. Step 4: Simplify right side
    326.40x = 52,407.85
  5. Step 5: Solve for x
    x = 52,407.85/326.40
  6. Step 6: Final answer
    x = 160.56

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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.