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Finding the Fourth Proportional to 411.37, 616.23 and 205.31

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Solution

The fourth proportional to 411.37, 616.23 and 205.31 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.37 : 616.23 = 205.31 : x
  2. Step 2: Convert to fraction form
    411.37/616.23 = 205.31/x
  3. Step 3: Cross multiply
    411.37x = 616.23 × 205.31
  4. Step 4: Simplify right side
    411.37x = 126,519.72
  5. Step 5: Solve for x
    x = 126,519.72/411.37
  6. Step 6: Final answer
    x = 307.56

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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.