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Finding the Fourth Proportional to 348.22, 480.36 and 231.76

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Solution

The fourth proportional to 348.22, 480.36 and 231.76 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.22 : 480.36 = 231.76 : x
  2. Step 2: Convert to fraction form
    348.22/480.36 = 231.76/x
  3. Step 3: Cross multiply
    348.22x = 480.36 × 231.76
  4. Step 4: Simplify right side
    348.22x = 111,328.23
  5. Step 5: Solve for x
    x = 111,328.23/348.22
  6. Step 6: Final answer
    x = 319.71

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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.