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Finding the Fourth Proportional to 823.27, 1,234.91 and 329.90

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Solution

The fourth proportional to 823.27, 1,234.91 and 329.90 is: 494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.27 : 1,234.91 = 329.90 : x
  2. Step 2: Convert to fraction form
    823.27/1,234.91 = 329.90/x
  3. Step 3: Cross multiply
    823.27x = 1,234.91 × 329.90
  4. Step 4: Simplify right side
    823.27x = 407,398.25
  5. Step 5: Solve for x
    x = 407,398.25/823.27
  6. Step 6: Final answer
    x = 494.85

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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.