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Finding the Fourth Proportional to 849.49, 1,273.72 and 329.07

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Solution

The fourth proportional to 849.49, 1,273.72 and 329.07 is: 493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.49 : 1,273.72 = 329.07 : x
  2. Step 2: Convert to fraction form
    849.49/1,273.72 = 329.07/x
  3. Step 3: Cross multiply
    849.49x = 1,273.72 × 329.07
  4. Step 4: Simplify right side
    849.49x = 419,143.04
  5. Step 5: Solve for x
    x = 419,143.04/849.49
  6. Step 6: Final answer
    x = 493.41

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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.