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Finding the Fourth Proportional to 739.35, 1,109.22 and 219.36

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Solution

The fourth proportional to 739.35, 1,109.22 and 219.36 is: 329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.35 : 1,109.22 = 219.36 : x
  2. Step 2: Convert to fraction form
    739.35/1,109.22 = 219.36/x
  3. Step 3: Cross multiply
    739.35x = 1,109.22 × 219.36
  4. Step 4: Simplify right side
    739.35x = 243,316.21
  5. Step 5: Solve for x
    x = 243,316.21/739.35
  6. Step 6: Final answer
    x = 329.09

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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.