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Finding the Fourth Proportional to 839.37, 1,259.11 and 223.06

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Solution

The fourth proportional to 839.37, 1,259.11 and 223.06 is: 334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.37 : 1,259.11 = 223.06 : x
  2. Step 2: Convert to fraction form
    839.37/1,259.11 = 223.06/x
  3. Step 3: Cross multiply
    839.37x = 1,259.11 × 223.06
  4. Step 4: Simplify right side
    839.37x = 280,853.03
  5. Step 5: Solve for x
    x = 280,853.03/839.37
  6. Step 6: Final answer
    x = 334.60

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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.