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Finding the Fourth Proportional to 386.28, 578.52 and 241.56

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Solution

The fourth proportional to 386.28, 578.52 and 241.56 is: 361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.28 : 578.52 = 241.56 : x
  2. Step 2: Convert to fraction form
    386.28/578.52 = 241.56/x
  3. Step 3: Cross multiply
    386.28x = 578.52 × 241.56
  4. Step 4: Simplify right side
    386.28x = 139,747.29
  5. Step 5: Solve for x
    x = 139,747.29/386.28
  6. Step 6: Final answer
    x = 361.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.