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Finding the Fourth Proportional to 382.21, 573.13 and 226.20

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Solution

The fourth proportional to 382.21, 573.13 and 226.20 is: 339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.21 : 573.13 = 226.20 : x
  2. Step 2: Convert to fraction form
    382.21/573.13 = 226.20/x
  3. Step 3: Cross multiply
    382.21x = 573.13 × 226.20
  4. Step 4: Simplify right side
    382.21x = 129,639.16
  5. Step 5: Solve for x
    x = 129,639.16/382.21
  6. Step 6: Final answer
    x = 339.18

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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.