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Finding the Fourth Proportional to 395.38, 592.11 and 232.57

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Solution

The fourth proportional to 395.38, 592.11 and 232.57 is: 348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.38 : 592.11 = 232.57 : x
  2. Step 2: Convert to fraction form
    395.38/592.11 = 232.57/x
  3. Step 3: Cross multiply
    395.38x = 592.11 × 232.57
  4. Step 4: Simplify right side
    395.38x = 137,707.02
  5. Step 5: Solve for x
    x = 137,707.02/395.38
  6. Step 6: Final answer
    x = 348.29

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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.