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Finding the Fourth Proportional to 394.76, 591.90 and 232.48

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Solution

The fourth proportional to 394.76, 591.90 and 232.48 is: 348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.76 : 591.90 = 232.48 : x
  2. Step 2: Convert to fraction form
    394.76/591.90 = 232.48/x
  3. Step 3: Cross multiply
    394.76x = 591.90 × 232.48
  4. Step 4: Simplify right side
    394.76x = 137,604.91
  5. Step 5: Solve for x
    x = 137,604.91/394.76
  6. Step 6: Final answer
    x = 348.58

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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.