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Finding the Fourth Proportional to 348.72, 481.46 and 229.29

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Solution

The fourth proportional to 348.72, 481.46 and 229.29 is: 316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.72 : 481.46 = 229.29 : x
  2. Step 2: Convert to fraction form
    348.72/481.46 = 229.29/x
  3. Step 3: Cross multiply
    348.72x = 481.46 × 229.29
  4. Step 4: Simplify right side
    348.72x = 110,393.96
  5. Step 5: Solve for x
    x = 110,393.96/348.72
  6. Step 6: Final answer
    x = 316.57

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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.