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Finding the Fourth Proportional to 496.41, 684.96 and 286.60

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Solution

The fourth proportional to 496.41, 684.96 and 286.60 is: 395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.41 : 684.96 = 286.60 : x
  2. Step 2: Convert to fraction form
    496.41/684.96 = 286.60/x
  3. Step 3: Cross multiply
    496.41x = 684.96 × 286.60
  4. Step 4: Simplify right side
    496.41x = 196,309.54
  5. Step 5: Solve for x
    x = 196,309.54/496.41
  6. Step 6: Final answer
    x = 395.46

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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.