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Finding the Fourth Proportional to 326.80, 489.62 and 180.40

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Solution

The fourth proportional to 326.80, 489.62 and 180.40 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.80 : 489.62 = 180.40 : x
  2. Step 2: Convert to fraction form
    326.80/489.62 = 180.40/x
  3. Step 3: Cross multiply
    326.80x = 489.62 × 180.40
  4. Step 4: Simplify right side
    326.80x = 88,327.45
  5. Step 5: Solve for x
    x = 88,327.45/326.80
  6. Step 6: Final answer
    x = 270.28

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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.