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Finding the Fourth Proportional to 493.96, 739.29 and 371.38

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Solution

The fourth proportional to 493.96, 739.29 and 371.38 is: 555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.96 : 739.29 = 371.38 : x
  2. Step 2: Convert to fraction form
    493.96/739.29 = 371.38/x
  3. Step 3: Cross multiply
    493.96x = 739.29 × 371.38
  4. Step 4: Simplify right side
    493.96x = 274,557.52
  5. Step 5: Solve for x
    x = 274,557.52/493.96
  6. Step 6: Final answer
    x = 555.83

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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.