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Finding the Fourth Proportional to 349.13, 481.78 and 209.26

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Solution

The fourth proportional to 349.13, 481.78 and 209.26 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.13 : 481.78 = 209.26 : x
  2. Step 2: Convert to fraction form
    349.13/481.78 = 209.26/x
  3. Step 3: Cross multiply
    349.13x = 481.78 × 209.26
  4. Step 4: Simplify right side
    349.13x = 100,817.28
  5. Step 5: Solve for x
    x = 100,817.28/349.13
  6. Step 6: Final answer
    x = 288.77

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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.