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Finding the Fourth Proportional to 797.28, 1,196.36 and 310.26

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Solution

The fourth proportional to 797.28, 1,196.36 and 310.26 is: 465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.28 : 1,196.36 = 310.26 : x
  2. Step 2: Convert to fraction form
    797.28/1,196.36 = 310.26/x
  3. Step 3: Cross multiply
    797.28x = 1,196.36 × 310.26
  4. Step 4: Simplify right side
    797.28x = 371,182.65
  5. Step 5: Solve for x
    x = 371,182.65/797.28
  6. Step 6: Final answer
    x = 465.56

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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.