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Finding the Fourth Proportional to 496.86, 746.98 and 406.22

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Solution

The fourth proportional to 496.86, 746.98 and 406.22 is: 610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.86 : 746.98 = 406.22 : x
  2. Step 2: Convert to fraction form
    496.86/746.98 = 406.22/x
  3. Step 3: Cross multiply
    496.86x = 746.98 × 406.22
  4. Step 4: Simplify right side
    496.86x = 303,438.22
  5. Step 5: Solve for x
    x = 303,438.22/496.86
  6. Step 6: Final answer
    x = 610.71

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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.