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Finding the Fourth Proportional to 394.36, 591.42 and 232

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Solution

The fourth proportional to 394.36, 591.42 and 232 is: 347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.36 : 591.42 = 232 : x
  2. Step 2: Convert to fraction form
    394.36/591.42 = 232/x
  3. Step 3: Cross multiply
    394.36x = 591.42 × 232
  4. Step 4: Simplify right side
    394.36x = 137,209.44
  5. Step 5: Solve for x
    x = 137,209.44/394.36
  6. Step 6: Final answer
    x = 347.93

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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.