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Finding the Fourth Proportional to 319.25, 440.61 and 209.04

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Solution

The fourth proportional to 319.25, 440.61 and 209.04 is: 288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.25 : 440.61 = 209.04 : x
  2. Step 2: Convert to fraction form
    319.25/440.61 = 209.04/x
  3. Step 3: Cross multiply
    319.25x = 440.61 × 209.04
  4. Step 4: Simplify right side
    319.25x = 92,105.11
  5. Step 5: Solve for x
    x = 92,105.11/319.25
  6. Step 6: Final answer
    x = 288.51

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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.