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Finding the Fourth Proportional to 496.45, 685.14 and 286.67

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Solution

The fourth proportional to 496.45, 685.14 and 286.67 is: 395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.45 : 685.14 = 286.67 : x
  2. Step 2: Convert to fraction form
    496.45/685.14 = 286.67/x
  3. Step 3: Cross multiply
    496.45x = 685.14 × 286.67
  4. Step 4: Simplify right side
    496.45x = 196,407.23
  5. Step 5: Solve for x
    x = 196,407.23/496.45
  6. Step 6: Final answer
    x = 395.62

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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.