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Finding the Fourth Proportional to 849.14, 1,273.72 and 232.86

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Solution

The fourth proportional to 849.14, 1,273.72 and 232.86 is: 349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.14 : 1,273.72 = 232.86 : x
  2. Step 2: Convert to fraction form
    849.14/1,273.72 = 232.86/x
  3. Step 3: Cross multiply
    849.14x = 1,273.72 × 232.86
  4. Step 4: Simplify right side
    849.14x = 296,595.91
  5. Step 5: Solve for x
    x = 296,595.91/849.14
  6. Step 6: Final answer
    x = 349.29

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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.