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Finding the Fourth Proportional to 326.69, 489.52 and 180.31

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Solution

The fourth proportional to 326.69, 489.52 and 180.31 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.69 : 489.52 = 180.31 : x
  2. Step 2: Convert to fraction form
    326.69/489.52 = 180.31/x
  3. Step 3: Cross multiply
    326.69x = 489.52 × 180.31
  4. Step 4: Simplify right side
    326.69x = 88,265.35
  5. Step 5: Solve for x
    x = 88,265.35/326.69
  6. Step 6: Final answer
    x = 270.18

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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.