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Finding the Fourth Proportional to 395.52, 593.40 and 222.12

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Solution

The fourth proportional to 395.52, 593.40 and 222.12 is: 333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.52 : 593.40 = 222.12 : x
  2. Step 2: Convert to fraction form
    395.52/593.40 = 222.12/x
  3. Step 3: Cross multiply
    395.52x = 593.40 × 222.12
  4. Step 4: Simplify right side
    395.52x = 131,806.01
  5. Step 5: Solve for x
    x = 131,806.01/395.52
  6. Step 6: Final answer
    x = 333.25

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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.