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Finding the Fourth Proportional to 394.43, 590.56 and 201.65

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Solution

The fourth proportional to 394.43, 590.56 and 201.65 is: 301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.43 : 590.56 = 201.65 : x
  2. Step 2: Convert to fraction form
    394.43/590.56 = 201.65/x
  3. Step 3: Cross multiply
    394.43x = 590.56 × 201.65
  4. Step 4: Simplify right side
    394.43x = 119,082.97
  5. Step 5: Solve for x
    x = 119,082.97/394.43
  6. Step 6: Final answer
    x = 301.92

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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.