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Finding the Fourth Proportional to 496.67, 685.23 and 286.77

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Solution

The fourth proportional to 496.67, 685.23 and 286.77 is: 395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.67 : 685.23 = 286.77 : x
  2. Step 2: Convert to fraction form
    496.67/685.23 = 286.77/x
  3. Step 3: Cross multiply
    496.67x = 685.23 × 286.77
  4. Step 4: Simplify right side
    496.67x = 196,504.90
  5. Step 5: Solve for x
    x = 196,504.90/496.67
  6. Step 6: Final answer
    x = 395.65

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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.