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Finding the Fourth Proportional to 483.46, 724.21 and 223.09

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Solution

The fourth proportional to 483.46, 724.21 and 223.09 is: 334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.46 : 724.21 = 223.09 : x
  2. Step 2: Convert to fraction form
    483.46/724.21 = 223.09/x
  3. Step 3: Cross multiply
    483.46x = 724.21 × 223.09
  4. Step 4: Simplify right side
    483.46x = 161,566.97
  5. Step 5: Solve for x
    x = 161,566.97/483.46
  6. Step 6: Final answer
    x = 334.19

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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.