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Finding the Fourth Proportional to 335.73, 462.84 and 273.46

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Solution

The fourth proportional to 335.73, 462.84 and 273.46 is: 376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.73 : 462.84 = 273.46 : x
  2. Step 2: Convert to fraction form
    335.73/462.84 = 273.46/x
  3. Step 3: Cross multiply
    335.73x = 462.84 × 273.46
  4. Step 4: Simplify right side
    335.73x = 126,568.23
  5. Step 5: Solve for x
    x = 126,568.23/335.73
  6. Step 6: Final answer
    x = 376.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.