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Finding the Fourth Proportional to 348.94, 481.46 and 209.03

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Solution

The fourth proportional to 348.94, 481.46 and 209.03 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.94 : 481.46 = 209.03 : x
  2. Step 2: Convert to fraction form
    348.94/481.46 = 209.03/x
  3. Step 3: Cross multiply
    348.94x = 481.46 × 209.03
  4. Step 4: Simplify right side
    348.94x = 100,639.58
  5. Step 5: Solve for x
    x = 100,639.58/348.94
  6. Step 6: Final answer
    x = 288.42

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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.