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Finding the Fourth Proportional to 496.86, 743.91 and 398.43

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Solution

The fourth proportional to 496.86, 743.91 and 398.43 is: 596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.86 : 743.91 = 398.43 : x
  2. Step 2: Convert to fraction form
    496.86/743.91 = 398.43/x
  3. Step 3: Cross multiply
    496.86x = 743.91 × 398.43
  4. Step 4: Simplify right side
    496.86x = 296,396.06
  5. Step 5: Solve for x
    x = 296,396.06/496.86
  6. Step 6: Final answer
    x = 596.54

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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.