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Finding the Fourth Proportional to 589.21, 884.22 and 204.46

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Solution

The fourth proportional to 589.21, 884.22 and 204.46 is: 306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.21 : 884.22 = 204.46 : x
  2. Step 2: Convert to fraction form
    589.21/884.22 = 204.46/x
  3. Step 3: Cross multiply
    589.21x = 884.22 × 204.46
  4. Step 4: Simplify right side
    589.21x = 180,788.13
  5. Step 5: Solve for x
    x = 180,788.13/589.21
  6. Step 6: Final answer
    x = 306.83

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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.