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Finding the Fourth Proportional to 395.94, 594.28 and 201.08

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Solution

The fourth proportional to 395.94, 594.28 and 201.08 is: 301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.94 : 594.28 = 201.08 : x
  2. Step 2: Convert to fraction form
    395.94/594.28 = 201.08/x
  3. Step 3: Cross multiply
    395.94x = 594.28 × 201.08
  4. Step 4: Simplify right side
    395.94x = 119,499.56
  5. Step 5: Solve for x
    x = 119,499.56/395.94
  6. Step 6: Final answer
    x = 301.81

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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.