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Finding the Fourth Proportional to 849.54, 1,274.19 and 329.78

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Solution

The fourth proportional to 849.54, 1,274.19 and 329.78 is: 494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.54 : 1,274.19 = 329.78 : x
  2. Step 2: Convert to fraction form
    849.54/1,274.19 = 329.78/x
  3. Step 3: Cross multiply
    849.54x = 1,274.19 × 329.78
  4. Step 4: Simplify right side
    849.54x = 420,202.38
  5. Step 5: Solve for x
    x = 420,202.38/849.54
  6. Step 6: Final answer
    x = 494.62

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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.