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Finding the Fourth Proportional to 496.56, 685.32 and 286.72

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Solution

The fourth proportional to 496.56, 685.32 and 286.72 is: 395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 685.32 = 286.72 : x
  2. Step 2: Convert to fraction form
    496.56/685.32 = 286.72/x
  3. Step 3: Cross multiply
    496.56x = 685.32 × 286.72
  4. Step 4: Simplify right side
    496.56x = 196,494.95
  5. Step 5: Solve for x
    x = 196,494.95/496.56
  6. Step 6: Final answer
    x = 395.71

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