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Finding the Fourth Proportional to 326.34, 489.78 and 180.20

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Solution

The fourth proportional to 326.34, 489.78 and 180.20 is: 270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.34 : 489.78 = 180.20 : x
  2. Step 2: Convert to fraction form
    326.34/489.78 = 180.20/x
  3. Step 3: Cross multiply
    326.34x = 489.78 × 180.20
  4. Step 4: Simplify right side
    326.34x = 88,257.82
  5. Step 5: Solve for x
    x = 88,257.82/326.34
  6. Step 6: Final answer
    x = 270.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.