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Finding the Fourth Proportional to 496.42, 744.73 and 222.53

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Solution

The fourth proportional to 496.42, 744.73 and 222.53 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.42 : 744.73 = 222.53 : x
  2. Step 2: Convert to fraction form
    496.42/744.73 = 222.53/x
  3. Step 3: Cross multiply
    496.42x = 744.73 × 222.53
  4. Step 4: Simplify right side
    496.42x = 165,720.49
  5. Step 5: Solve for x
    x = 165,720.49/496.42
  6. Step 6: Final answer
    x = 333.83

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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.