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Finding the Fourth Proportional to 327.29, 489.92 and 173.03

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Solution

The fourth proportional to 327.29, 489.92 and 173.03 is: 259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.29 : 489.92 = 173.03 : x
  2. Step 2: Convert to fraction form
    327.29/489.92 = 173.03/x
  3. Step 3: Cross multiply
    327.29x = 489.92 × 173.03
  4. Step 4: Simplify right side
    327.29x = 84,767.54
  5. Step 5: Solve for x
    x = 84,767.54/327.29
  6. Step 6: Final answer
    x = 259.00

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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.