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Finding the Fourth Proportional to 797.27, 1,196.46 and 310.33

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Solution

The fourth proportional to 797.27, 1,196.46 and 310.33 is: 465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.27 : 1,196.46 = 310.33 : x
  2. Step 2: Convert to fraction form
    797.27/1,196.46 = 310.33/x
  3. Step 3: Cross multiply
    797.27x = 1,196.46 × 310.33
  4. Step 4: Simplify right side
    797.27x = 371,297.43
  5. Step 5: Solve for x
    x = 371,297.43/797.27
  6. Step 6: Final answer
    x = 465.71

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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.