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Finding the Fourth Proportional to 377.21, 564.44 and 230.43

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Solution

The fourth proportional to 377.21, 564.44 and 230.43 is: 344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.21 : 564.44 = 230.43 : x
  2. Step 2: Convert to fraction form
    377.21/564.44 = 230.43/x
  3. Step 3: Cross multiply
    377.21x = 564.44 × 230.43
  4. Step 4: Simplify right side
    377.21x = 130,063.91
  5. Step 5: Solve for x
    x = 130,063.91/377.21
  6. Step 6: Final answer
    x = 344.81

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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.