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Finding the Fourth Proportional to 496.69, 685.45 and 286.90

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Solution

The fourth proportional to 496.69, 685.45 and 286.90 is: 395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.69 : 685.45 = 286.90 : x
  2. Step 2: Convert to fraction form
    496.69/685.45 = 286.90/x
  3. Step 3: Cross multiply
    496.69x = 685.45 × 286.90
  4. Step 4: Simplify right side
    496.69x = 196,655.61
  5. Step 5: Solve for x
    x = 196,655.61/496.69
  6. Step 6: Final answer
    x = 395.93

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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.