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Finding the Fourth Proportional to 768.52, 1,152.36 and 329.64

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Solution

The fourth proportional to 768.52, 1,152.36 and 329.64 is: 494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.52 : 1,152.36 = 329.64 : x
  2. Step 2: Convert to fraction form
    768.52/1,152.36 = 329.64/x
  3. Step 3: Cross multiply
    768.52x = 1,152.36 × 329.64
  4. Step 4: Simplify right side
    768.52x = 379,859.63
  5. Step 5: Solve for x
    x = 379,859.63/768.52
  6. Step 6: Final answer
    x = 494.27

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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.