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Finding the Fourth Proportional to 496.73, 685.80 and 319.75

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Solution

The fourth proportional to 496.73, 685.80 and 319.75 is: 441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.73 : 685.80 = 319.75 : x
  2. Step 2: Convert to fraction form
    496.73/685.80 = 319.75/x
  3. Step 3: Cross multiply
    496.73x = 685.80 × 319.75
  4. Step 4: Simplify right side
    496.73x = 219,286.09
  5. Step 5: Solve for x
    x = 219,286.09/496.73
  6. Step 6: Final answer
    x = 441.46

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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.