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Finding the Fourth Proportional to 496.24, 744.61 and 203.96

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Solution

The fourth proportional to 496.24, 744.61 and 203.96 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 744.61 = 203.96 : x
  2. Step 2: Convert to fraction form
    496.24/744.61 = 203.96/x
  3. Step 3: Cross multiply
    496.24x = 744.61 × 203.96
  4. Step 4: Simplify right side
    496.24x = 151,872.39
  5. Step 5: Solve for x
    x = 151,872.39/496.24
  6. Step 6: Final answer
    x = 306.05

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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.