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Finding the Fourth Proportional to 496.89, 685.77 and 319.71

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Solution

The fourth proportional to 496.89, 685.77 and 319.71 is: 441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.89 : 685.77 = 319.71 : x
  2. Step 2: Convert to fraction form
    496.89/685.77 = 319.71/x
  3. Step 3: Cross multiply
    496.89x = 685.77 × 319.71
  4. Step 4: Simplify right side
    496.89x = 219,247.53
  5. Step 5: Solve for x
    x = 219,247.53/496.89
  6. Step 6: Final answer
    x = 441.24

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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.