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Finding the Fourth Proportional to 395.72, 593.24 and 241.46

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Solution

The fourth proportional to 395.72, 593.24 and 241.46 is: 361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 593.24 = 241.46 : x
  2. Step 2: Convert to fraction form
    395.72/593.24 = 241.46/x
  3. Step 3: Cross multiply
    395.72x = 593.24 × 241.46
  4. Step 4: Simplify right side
    395.72x = 143,243.73
  5. Step 5: Solve for x
    x = 143,243.73/395.72
  6. Step 6: Final answer
    x = 361.98

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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.