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Finding the Fourth Proportional to 872.69, 1,309.04 and 223.43

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Solution

The fourth proportional to 872.69, 1,309.04 and 223.43 is: 335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.69 : 1,309.04 = 223.43 : x
  2. Step 2: Convert to fraction form
    872.69/1,309.04 = 223.43/x
  3. Step 3: Cross multiply
    872.69x = 1,309.04 × 223.43
  4. Step 4: Simplify right side
    872.69x = 292,478.81
  5. Step 5: Solve for x
    x = 292,478.81/872.69
  6. Step 6: Final answer
    x = 335.15

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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.