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Finding the Fourth Proportional to 348.80, 481.82 and 282.31

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Solution

The fourth proportional to 348.80, 481.82 and 282.31 is: 389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 481.82 = 282.31 : x
  2. Step 2: Convert to fraction form
    348.80/481.82 = 282.31/x
  3. Step 3: Cross multiply
    348.80x = 481.82 × 282.31
  4. Step 4: Simplify right side
    348.80x = 136,019.99
  5. Step 5: Solve for x
    x = 136,019.99/348.80
  6. Step 6: Final answer
    x = 389.97

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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.