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Finding the Fourth Proportional to 496.53, 685.29 and 319.44

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Solution

The fourth proportional to 496.53, 685.29 and 319.44 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 685.29 = 319.44 : x
  2. Step 2: Convert to fraction form
    496.53/685.29 = 319.44/x
  3. Step 3: Cross multiply
    496.53x = 685.29 × 319.44
  4. Step 4: Simplify right side
    496.53x = 218,909.04
  5. Step 5: Solve for x
    x = 218,909.04/496.53
  6. Step 6: Final answer
    x = 440.88

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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.