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Finding the Fourth Proportional to 410.97, 616 and 205.69

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Solution

The fourth proportional to 410.97, 616 and 205.69 is: 308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 616 = 205.69 : x
  2. Step 2: Convert to fraction form
    410.97/616 = 205.69/x
  3. Step 3: Cross multiply
    410.97x = 616 × 205.69
  4. Step 4: Simplify right side
    410.97x = 126,705.04
  5. Step 5: Solve for x
    x = 126,705.04/410.97
  6. Step 6: Final answer
    x = 308.31

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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.