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Finding the Fourth Proportional to 329.48, 494.27 and 199.57

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Solution

The fourth proportional to 329.48, 494.27 and 199.57 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 494.27 = 199.57 : x
  2. Step 2: Convert to fraction form
    329.48/494.27 = 199.57/x
  3. Step 3: Cross multiply
    329.48x = 494.27 × 199.57
  4. Step 4: Simplify right side
    329.48x = 98,640.47
  5. Step 5: Solve for x
    x = 98,640.47/329.48
  6. Step 6: Final answer
    x = 299.39

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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.