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Finding the Fourth Proportional to 348.36, 480.86 and 231.96

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Solution

The fourth proportional to 348.36, 480.86 and 231.96 is: 320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.36 : 480.86 = 231.96 : x
  2. Step 2: Convert to fraction form
    348.36/480.86 = 231.96/x
  3. Step 3: Cross multiply
    348.36x = 480.86 × 231.96
  4. Step 4: Simplify right side
    348.36x = 111,540.29
  5. Step 5: Solve for x
    x = 111,540.29/348.36
  6. Step 6: Final answer
    x = 320.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.