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Finding the Fourth Proportional to 688.56, 950.19 and 408.87

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Solution

The fourth proportional to 688.56, 950.19 and 408.87 is: 564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.56 : 950.19 = 408.87 : x
  2. Step 2: Convert to fraction form
    688.56/950.19 = 408.87/x
  3. Step 3: Cross multiply
    688.56x = 950.19 × 408.87
  4. Step 4: Simplify right side
    688.56x = 388,504.19
  5. Step 5: Solve for x
    x = 388,504.19/688.56
  6. Step 6: Final answer
    x = 564.23

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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.