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Finding the Fourth Proportional to 288.09, 431.49 and 201.24

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Solution

The fourth proportional to 288.09, 431.49 and 201.24 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 431.49 = 201.24 : x
  2. Step 2: Convert to fraction form
    288.09/431.49 = 201.24/x
  3. Step 3: Cross multiply
    288.09x = 431.49 × 201.24
  4. Step 4: Simplify right side
    288.09x = 86,833.05
  5. Step 5: Solve for x
    x = 86,833.05/288.09
  6. Step 6: Final answer
    x = 301.41

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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.