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Finding the Fourth Proportional to 823.25, 1,234.94 and 329.54

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Solution

The fourth proportional to 823.25, 1,234.94 and 329.54 is: 494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.25 : 1,234.94 = 329.54 : x
  2. Step 2: Convert to fraction form
    823.25/1,234.94 = 329.54/x
  3. Step 3: Cross multiply
    823.25x = 1,234.94 × 329.54
  4. Step 4: Simplify right side
    823.25x = 406,954.31
  5. Step 5: Solve for x
    x = 406,954.31/823.25
  6. Step 6: Final answer
    x = 494.33

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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.