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Finding the Fourth Proportional to 349.23, 481.92 and 209.35

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Solution

The fourth proportional to 349.23, 481.92 and 209.35 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.23 : 481.92 = 209.35 : x
  2. Step 2: Convert to fraction form
    349.23/481.92 = 209.35/x
  3. Step 3: Cross multiply
    349.23x = 481.92 × 209.35
  4. Step 4: Simplify right side
    349.23x = 100,889.77
  5. Step 5: Solve for x
    x = 100,889.77/349.23
  6. Step 6: Final answer
    x = 288.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.