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Finding the Fourth Proportional to 319.58, 440.96 and 209.34

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Solution

The fourth proportional to 319.58, 440.96 and 209.34 is: 288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.58 : 440.96 = 209.34 : x
  2. Step 2: Convert to fraction form
    319.58/440.96 = 209.34/x
  3. Step 3: Cross multiply
    319.58x = 440.96 × 209.34
  4. Step 4: Simplify right side
    319.58x = 92,310.57
  5. Step 5: Solve for x
    x = 92,310.57/319.58
  6. Step 6: Final answer
    x = 288.85

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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.