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Finding the Fourth Proportional to 493.37, 739.97 and 246.31

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Solution

The fourth proportional to 493.37, 739.97 and 246.31 is: 369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.37 : 739.97 = 246.31 : x
  2. Step 2: Convert to fraction form
    493.37/739.97 = 246.31/x
  3. Step 3: Cross multiply
    493.37x = 739.97 × 246.31
  4. Step 4: Simplify right side
    493.37x = 182,265.40
  5. Step 5: Solve for x
    x = 182,265.40/493.37
  6. Step 6: Final answer
    x = 369.43

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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.