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Finding the Fourth Proportional to 395.53, 593.34 and 233.22

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Solution

The fourth proportional to 395.53, 593.34 and 233.22 is: 349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.53 : 593.34 = 233.22 : x
  2. Step 2: Convert to fraction form
    395.53/593.34 = 233.22/x
  3. Step 3: Cross multiply
    395.53x = 593.34 × 233.22
  4. Step 4: Simplify right side
    395.53x = 138,378.75
  5. Step 5: Solve for x
    x = 138,378.75/395.53
  6. Step 6: Final answer
    x = 349.86

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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.