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Finding the Fourth Proportional to 849.11, 1,273.68 and 232.88

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Solution

The fourth proportional to 849.11, 1,273.68 and 232.88 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.11 : 1,273.68 = 232.88 : x
  2. Step 2: Convert to fraction form
    849.11/1,273.68 = 232.88/x
  3. Step 3: Cross multiply
    849.11x = 1,273.68 × 232.88
  4. Step 4: Simplify right side
    849.11x = 296,608.23
  5. Step 5: Solve for x
    x = 296,608.23/849.11
  6. Step 6: Final answer
    x = 349.32

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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.