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Finding the Fourth Proportional to 395.64, 593.73 and 233.37

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Solution

The fourth proportional to 395.64, 593.73 and 233.37 is: 350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 593.73 = 233.37 : x
  2. Step 2: Convert to fraction form
    395.64/593.73 = 233.37/x
  3. Step 3: Cross multiply
    395.64x = 593.73 × 233.37
  4. Step 4: Simplify right side
    395.64x = 138,558.77
  5. Step 5: Solve for x
    x = 138,558.77/395.64
  6. Step 6: Final answer
    x = 350.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.