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Finding the Fourth Proportional to 496.46, 743.60 and 222.17

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Solution

The fourth proportional to 496.46, 743.60 and 222.17 is: 332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.46 : 743.60 = 222.17 : x
  2. Step 2: Convert to fraction form
    496.46/743.60 = 222.17/x
  3. Step 3: Cross multiply
    496.46x = 743.60 × 222.17
  4. Step 4: Simplify right side
    496.46x = 165,202.45
  5. Step 5: Solve for x
    x = 165,202.45/496.46
  6. Step 6: Final answer
    x = 332.76

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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.