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Finding the Fourth Proportional to 496.07, 684.35 and 286.20

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Solution

The fourth proportional to 496.07, 684.35 and 286.20 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.07 : 684.35 = 286.20 : x
  2. Step 2: Convert to fraction form
    496.07/684.35 = 286.20/x
  3. Step 3: Cross multiply
    496.07x = 684.35 × 286.20
  4. Step 4: Simplify right side
    496.07x = 195,859.54
  5. Step 5: Solve for x
    x = 195,859.54/496.07
  6. Step 6: Final answer
    x = 394.83

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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.