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Finding the Fourth Proportional to 496.45, 685.08 and 286.61

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Solution

The fourth proportional to 496.45, 685.08 and 286.61 is: 395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.45 : 685.08 = 286.61 : x
  2. Step 2: Convert to fraction form
    496.45/685.08 = 286.61/x
  3. Step 3: Cross multiply
    496.45x = 685.08 × 286.61
  4. Step 4: Simplify right side
    496.45x = 196,352.49
  5. Step 5: Solve for x
    x = 196,352.49/496.45
  6. Step 6: Final answer
    x = 395.52

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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.