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Finding the Fourth Proportional to 327.74, 489.50 and 296.82

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Solution

The fourth proportional to 327.74, 489.50 and 296.82 is: 443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 489.50 = 296.82 : x
  2. Step 2: Convert to fraction form
    327.74/489.50 = 296.82/x
  3. Step 3: Cross multiply
    327.74x = 489.50 × 296.82
  4. Step 4: Simplify right side
    327.74x = 145,295.44
  5. Step 5: Solve for x
    x = 145,295.44/327.74
  6. Step 6: Final answer
    x = 443.33

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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.