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Finding the Fourth Proportional to 323.27, 482.19 and 296.73

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Solution

The fourth proportional to 323.27, 482.19 and 296.73 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.27 : 482.19 = 296.73 : x
  2. Step 2: Convert to fraction form
    323.27/482.19 = 296.73/x
  3. Step 3: Cross multiply
    323.27x = 482.19 × 296.73
  4. Step 4: Simplify right side
    323.27x = 143,078.76
  5. Step 5: Solve for x
    x = 143,078.76/323.27
  6. Step 6: Final answer
    x = 442.61

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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.