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Finding the Fourth Proportional to 349.23, 481.91 and 209.37

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Solution

The fourth proportional to 349.23, 481.91 and 209.37 is: 288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 481.91 = 209.37 : x
  2. Step 2: Convert to fraction form
    349.23/481.91 = 209.37/x
  3. Step 3: Cross multiply
    349.23x = 481.91 × 209.37
  4. Step 4: Simplify right side
    349.23x = 100,897.50
  5. Step 5: Solve for x
    x = 100,897.50/349.23
  6. Step 6: Final answer
    x = 288.91

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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.