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Finding the Fourth Proportional to 395.68, 593.52 and 190.15

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Solution

The fourth proportional to 395.68, 593.52 and 190.15 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 593.52 = 190.15 : x
  2. Step 2: Convert to fraction form
    395.68/593.52 = 190.15/x
  3. Step 3: Cross multiply
    395.68x = 593.52 × 190.15
  4. Step 4: Simplify right side
    395.68x = 112,857.83
  5. Step 5: Solve for x
    x = 112,857.83/395.68
  6. Step 6: Final answer
    x = 285.23

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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.