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Finding the Fourth Proportional to 348.26, 480.47 and 231.75

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Solution

The fourth proportional to 348.26, 480.47 and 231.75 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 480.47 = 231.75 : x
  2. Step 2: Convert to fraction form
    348.26/480.47 = 231.75/x
  3. Step 3: Cross multiply
    348.26x = 480.47 × 231.75
  4. Step 4: Simplify right side
    348.26x = 111,347.76
  5. Step 5: Solve for x
    x = 111,347.76/348.26
  6. Step 6: Final answer
    x = 319.73

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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.