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Finding the Fourth Proportional to 797.44, 1,196.16 and 220.32

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Solution

The fourth proportional to 797.44, 1,196.16 and 220.32 is: 330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.44 : 1,196.16 = 220.32 : x
  2. Step 2: Convert to fraction form
    797.44/1,196.16 = 220.32/x
  3. Step 3: Cross multiply
    797.44x = 1,196.16 × 220.32
  4. Step 4: Simplify right side
    797.44x = 263,537.97
  5. Step 5: Solve for x
    x = 263,537.97/797.44
  6. Step 6: Final answer
    x = 330.48

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Double scale
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Similar ratio
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1.5x scale

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.