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Finding the Fourth Proportional to 816.26, 1,224.34 and 329.44

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Solution

The fourth proportional to 816.26, 1,224.34 and 329.44 is: 494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,224.34 = 329.44 : x
  2. Step 2: Convert to fraction form
    816.26/1,224.34 = 329.44/x
  3. Step 3: Cross multiply
    816.26x = 1,224.34 × 329.44
  4. Step 4: Simplify right side
    816.26x = 403,346.57
  5. Step 5: Solve for x
    x = 403,346.57/816.26
  6. Step 6: Final answer
    x = 494.14

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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.