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Finding the Fourth Proportional to 816.57, 1,224.97 and 329.59

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Solution

The fourth proportional to 816.57, 1,224.97 and 329.59 is: 494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.57 : 1,224.97 = 329.59 : x
  2. Step 2: Convert to fraction form
    816.57/1,224.97 = 329.59/x
  3. Step 3: Cross multiply
    816.57x = 1,224.97 × 329.59
  4. Step 4: Simplify right side
    816.57x = 403,737.86
  5. Step 5: Solve for x
    x = 403,737.86/816.57
  6. Step 6: Final answer
    x = 494.43

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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.