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Finding the Fourth Proportional to 796.21, 1,194.29 and 219.08

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Solution

The fourth proportional to 796.21, 1,194.29 and 219.08 is: 328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.21 : 1,194.29 = 219.08 : x
  2. Step 2: Convert to fraction form
    796.21/1,194.29 = 219.08/x
  3. Step 3: Cross multiply
    796.21x = 1,194.29 × 219.08
  4. Step 4: Simplify right side
    796.21x = 261,645.05
  5. Step 5: Solve for x
    x = 261,645.05/796.21
  6. Step 6: Final answer
    x = 328.61

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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.