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Finding the Fourth Proportional to 849.35, 1,273.06 and 329.09

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Solution

The fourth proportional to 849.35, 1,273.06 and 329.09 is: 493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.35 : 1,273.06 = 329.09 : x
  2. Step 2: Convert to fraction form
    849.35/1,273.06 = 329.09/x
  3. Step 3: Cross multiply
    849.35x = 1,273.06 × 329.09
  4. Step 4: Simplify right side
    849.35x = 418,943.30
  5. Step 5: Solve for x
    x = 418,943.30/849.35
  6. Step 6: Final answer
    x = 493.25

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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.