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Finding the Fourth Proportional to 375.89, 563.84 and 205.97

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Solution

The fourth proportional to 375.89, 563.84 and 205.97 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 563.84 = 205.97 : x
  2. Step 2: Convert to fraction form
    375.89/563.84 = 205.97/x
  3. Step 3: Cross multiply
    375.89x = 563.84 × 205.97
  4. Step 4: Simplify right side
    375.89x = 116,134.12
  5. Step 5: Solve for x
    x = 116,134.12/375.89
  6. Step 6: Final answer
    x = 308.96

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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.