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Finding the Fourth Proportional to 768.33, 1,152.24 and 329.57

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Solution

The fourth proportional to 768.33, 1,152.24 and 329.57 is: 494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.33 : 1,152.24 = 329.57 : x
  2. Step 2: Convert to fraction form
    768.33/1,152.24 = 329.57/x
  3. Step 3: Cross multiply
    768.33x = 1,152.24 × 329.57
  4. Step 4: Simplify right side
    768.33x = 379,737.98
  5. Step 5: Solve for x
    x = 379,737.98/768.33
  6. Step 6: Final answer
    x = 494.24

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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.