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Finding the Fourth Proportional to 327.78, 489.24 and 322.38

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Solution

The fourth proportional to 327.78, 489.24 and 322.38 is: 481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.78 : 489.24 = 322.38 : x
  2. Step 2: Convert to fraction form
    327.78/489.24 = 322.38/x
  3. Step 3: Cross multiply
    327.78x = 489.24 × 322.38
  4. Step 4: Simplify right side
    327.78x = 157,721.19
  5. Step 5: Solve for x
    x = 157,721.19/327.78
  6. Step 6: Final answer
    x = 481.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.