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Finding the Fourth Proportional to 395.69, 593.71 and 135.73

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Solution

The fourth proportional to 395.69, 593.71 and 135.73 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.69 : 593.71 = 135.73 : x
  2. Step 2: Convert to fraction form
    395.69/593.71 = 135.73/x
  3. Step 3: Cross multiply
    395.69x = 593.71 × 135.73
  4. Step 4: Simplify right side
    395.69x = 80,582.43
  5. Step 5: Solve for x
    x = 80,582.43/395.69
  6. Step 6: Final answer
    x = 203.65

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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.