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Finding the Fourth Proportional to 349.02, 481.47 and 209.07

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Solution

The fourth proportional to 349.02, 481.47 and 209.07 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.02 : 481.47 = 209.07 : x
  2. Step 2: Convert to fraction form
    349.02/481.47 = 209.07/x
  3. Step 3: Cross multiply
    349.02x = 481.47 × 209.07
  4. Step 4: Simplify right side
    349.02x = 100,660.15
  5. Step 5: Solve for x
    x = 100,660.15/349.02
  6. Step 6: Final answer
    x = 288.41

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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.