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Finding the Fourth Proportional to 326.78, 489.82 and 224.04

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Solution

The fourth proportional to 326.78, 489.82 and 224.04 is: 335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.78 : 489.82 = 224.04 : x
  2. Step 2: Convert to fraction form
    326.78/489.82 = 224.04/x
  3. Step 3: Cross multiply
    326.78x = 489.82 × 224.04
  4. Step 4: Simplify right side
    326.78x = 109,739.27
  5. Step 5: Solve for x
    x = 109,739.27/326.78
  6. Step 6: Final answer
    x = 335.82

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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.