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Finding the Fourth Proportional to 465.71, 698.09 and 205.85

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Solution

The fourth proportional to 465.71, 698.09 and 205.85 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.71 : 698.09 = 205.85 : x
  2. Step 2: Convert to fraction form
    465.71/698.09 = 205.85/x
  3. Step 3: Cross multiply
    465.71x = 698.09 × 205.85
  4. Step 4: Simplify right side
    465.71x = 143,698.62
  5. Step 5: Solve for x
    x = 143,698.62/465.71
  6. Step 6: Final answer
    x = 308.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.