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Finding the Fourth Proportional to 797.58, 1,196.22 and 220.32

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Solution

The fourth proportional to 797.58, 1,196.22 and 220.32 is: 330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.58 : 1,196.22 = 220.32 : x
  2. Step 2: Convert to fraction form
    797.58/1,196.22 = 220.32/x
  3. Step 3: Cross multiply
    797.58x = 1,196.22 × 220.32
  4. Step 4: Simplify right side
    797.58x = 263,551.19
  5. Step 5: Solve for x
    x = 263,551.19/797.58
  6. Step 6: Final answer
    x = 330.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.