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Finding the Fourth Proportional to 493.23, 739.44 and 276.78

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Solution

The fourth proportional to 493.23, 739.44 and 276.78 is: 414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.23 : 739.44 = 276.78 : x
  2. Step 2: Convert to fraction form
    493.23/739.44 = 276.78/x
  3. Step 3: Cross multiply
    493.23x = 739.44 × 276.78
  4. Step 4: Simplify right side
    493.23x = 204,662.20
  5. Step 5: Solve for x
    x = 204,662.20/493.23
  6. Step 6: Final answer
    x = 414.94

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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.