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Finding the Fourth Proportional to 319.84, 441.44 and 209.12

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Solution

The fourth proportional to 319.84, 441.44 and 209.12 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.84 : 441.44 = 209.12 : x
  2. Step 2: Convert to fraction form
    319.84/441.44 = 209.12/x
  3. Step 3: Cross multiply
    319.84x = 441.44 × 209.12
  4. Step 4: Simplify right side
    319.84x = 92,310.68
  5. Step 5: Solve for x
    x = 92,310.68/319.84
  6. Step 6: Final answer
    x = 288.62

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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.