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Finding the Fourth Proportional to 319.52, 440.94 and 209.19

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Solution

The fourth proportional to 319.52, 440.94 and 209.19 is: 288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.52 : 440.94 = 209.19 : x
  2. Step 2: Convert to fraction form
    319.52/440.94 = 209.19/x
  3. Step 3: Cross multiply
    319.52x = 440.94 × 209.19
  4. Step 4: Simplify right side
    319.52x = 92,240.24
  5. Step 5: Solve for x
    x = 92,240.24/319.52
  6. Step 6: Final answer
    x = 288.68

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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.