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Finding the Fourth Proportional to 329.44, 494.24 and 200.96

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Solution

The fourth proportional to 329.44, 494.24 and 200.96 is: 301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.44 : 494.24 = 200.96 : x
  2. Step 2: Convert to fraction form
    329.44/494.24 = 200.96/x
  3. Step 3: Cross multiply
    329.44x = 494.24 × 200.96
  4. Step 4: Simplify right side
    329.44x = 99,322.47
  5. Step 5: Solve for x
    x = 99,322.47/329.44
  6. Step 6: Final answer
    x = 301.49

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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.