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Finding the Fourth Proportional to 395.84, 593.74 and 232.44

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Solution

The fourth proportional to 395.84, 593.74 and 232.44 is: 348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 593.74 = 232.44 : x
  2. Step 2: Convert to fraction form
    395.84/593.74 = 232.44/x
  3. Step 3: Cross multiply
    395.84x = 593.74 × 232.44
  4. Step 4: Simplify right side
    395.84x = 138,008.93
  5. Step 5: Solve for x
    x = 138,008.93/395.84
  6. Step 6: Final answer
    x = 348.65

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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.