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Finding the Fourth Proportional to 688.72, 950.44 and 408.97

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Solution

The fourth proportional to 688.72, 950.44 and 408.97 is: 564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.72 : 950.44 = 408.97 : x
  2. Step 2: Convert to fraction form
    688.72/950.44 = 408.97/x
  3. Step 3: Cross multiply
    688.72x = 950.44 × 408.97
  4. Step 4: Simplify right side
    688.72x = 388,698.05
  5. Step 5: Solve for x
    x = 388,698.05/688.72
  6. Step 6: Final answer
    x = 564.38

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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.