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Finding the Fourth Proportional to 496.34, 743.84 and 222.62

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Solution

The fourth proportional to 496.34, 743.84 and 222.62 is: 333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.34 : 743.84 = 222.62 : x
  2. Step 2: Convert to fraction form
    496.34/743.84 = 222.62/x
  3. Step 3: Cross multiply
    496.34x = 743.84 × 222.62
  4. Step 4: Simplify right side
    496.34x = 165,593.66
  5. Step 5: Solve for x
    x = 165,593.66/496.34
  6. Step 6: Final answer
    x = 333.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.