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Finding the Fourth Proportional to 395.80, 593.68 and 103.31

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Solution

The fourth proportional to 395.80, 593.68 and 103.31 is: 154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.80 : 593.68 = 103.31 : x
  2. Step 2: Convert to fraction form
    395.80/593.68 = 103.31/x
  3. Step 3: Cross multiply
    395.80x = 593.68 × 103.31
  4. Step 4: Simplify right side
    395.80x = 61,334.78
  5. Step 5: Solve for x
    x = 61,334.78/395.80
  6. Step 6: Final answer
    x = 154.97

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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.