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Finding the Fourth Proportional to 367.67, 552.24 and 287.01

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Solution

The fourth proportional to 367.67, 552.24 and 287.01 is: 431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.67 : 552.24 = 287.01 : x
  2. Step 2: Convert to fraction form
    367.67/552.24 = 287.01/x
  3. Step 3: Cross multiply
    367.67x = 552.24 × 287.01
  4. Step 4: Simplify right side
    367.67x = 158,498.40
  5. Step 5: Solve for x
    x = 158,498.40/367.67
  6. Step 6: Final answer
    x = 431.09

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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.