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Finding the Fourth Proportional to 493.54, 739.59 and 276.82

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Solution

The fourth proportional to 493.54, 739.59 and 276.82 is: 414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.54 : 739.59 = 276.82 : x
  2. Step 2: Convert to fraction form
    493.54/739.59 = 276.82/x
  3. Step 3: Cross multiply
    493.54x = 739.59 × 276.82
  4. Step 4: Simplify right side
    493.54x = 204,733.30
  5. Step 5: Solve for x
    x = 204,733.30/493.54
  6. Step 6: Final answer
    x = 414.83

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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.