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Finding the Fourth Proportional to 493.72, 739.73 and 246.59

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Solution

The fourth proportional to 493.72, 739.73 and 246.59 is: 369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.72 : 739.73 = 246.59 : x
  2. Step 2: Convert to fraction form
    493.72/739.73 = 246.59/x
  3. Step 3: Cross multiply
    493.72x = 739.73 × 246.59
  4. Step 4: Simplify right side
    493.72x = 182,410.02
  5. Step 5: Solve for x
    x = 182,410.02/493.72
  6. Step 6: Final answer
    x = 369.46

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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.