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Finding the Fourth Proportional to 347.89, 480.29 and 231.61

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Solution

The fourth proportional to 347.89, 480.29 and 231.61 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.89 : 480.29 = 231.61 : x
  2. Step 2: Convert to fraction form
    347.89/480.29 = 231.61/x
  3. Step 3: Cross multiply
    347.89x = 480.29 × 231.61
  4. Step 4: Simplify right side
    347.89x = 111,238.81
  5. Step 5: Solve for x
    x = 111,238.81/347.89
  6. Step 6: Final answer
    x = 319.75

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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.