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Finding the Fourth Proportional to 347.66, 480.09 and 223.61

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Solution

The fourth proportional to 347.66, 480.09 and 223.61 is: 308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 480.09 = 223.61 : x
  2. Step 2: Convert to fraction form
    347.66/480.09 = 223.61/x
  3. Step 3: Cross multiply
    347.66x = 480.09 × 223.61
  4. Step 4: Simplify right side
    347.66x = 107,351.72
  5. Step 5: Solve for x
    x = 107,351.72/347.66
  6. Step 6: Final answer
    x = 308.79

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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.