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Finding the Fourth Proportional to 319.77, 441.30 and 209.54

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Solution

The fourth proportional to 319.77, 441.30 and 209.54 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.77 : 441.30 = 209.54 : x
  2. Step 2: Convert to fraction form
    319.77/441.30 = 209.54/x
  3. Step 3: Cross multiply
    319.77x = 441.30 × 209.54
  4. Step 4: Simplify right side
    319.77x = 92,467.80
  5. Step 5: Solve for x
    x = 92,467.80/319.77
  6. Step 6: Final answer
    x = 289.17

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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.