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Finding the Fourth Proportional to 496.56, 685.42 and 286.89

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Solution

The fourth proportional to 496.56, 685.42 and 286.89 is: 396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 685.42 = 286.89 : x
  2. Step 2: Convert to fraction form
    496.56/685.42 = 286.89/x
  3. Step 3: Cross multiply
    496.56x = 685.42 × 286.89
  4. Step 4: Simplify right side
    496.56x = 196,636.86
  5. Step 5: Solve for x
    x = 196,636.86/496.56
  6. Step 6: Final answer
    x = 396.00

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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.