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Finding the Fourth Proportional to 410.99, 616.66 and 205.56

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Solution

The fourth proportional to 410.99, 616.66 and 205.56 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 616.66 = 205.56 : x
  2. Step 2: Convert to fraction form
    410.99/616.66 = 205.56/x
  3. Step 3: Cross multiply
    410.99x = 616.66 × 205.56
  4. Step 4: Simplify right side
    410.99x = 126,760.12
  5. Step 5: Solve for x
    x = 126,760.12/410.99
  6. Step 6: Final answer
    x = 308.43

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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.