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Finding the Fourth Proportional to 395.39, 593.45 and 200.53

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Solution

The fourth proportional to 395.39, 593.45 and 200.53 is: 300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.39 : 593.45 = 200.53 : x
  2. Step 2: Convert to fraction form
    395.39/593.45 = 200.53/x
  3. Step 3: Cross multiply
    395.39x = 593.45 × 200.53
  4. Step 4: Simplify right side
    395.39x = 119,002.54
  5. Step 5: Solve for x
    x = 119,002.54/395.39
  6. Step 6: Final answer
    x = 300.97

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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.