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Finding the Fourth Proportional to 688.59, 950.18 and 408.92

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Solution

The fourth proportional to 688.59, 950.18 and 408.92 is: 564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.59 : 950.18 = 408.92 : x
  2. Step 2: Convert to fraction form
    688.59/950.18 = 408.92/x
  3. Step 3: Cross multiply
    688.59x = 950.18 × 408.92
  4. Step 4: Simplify right side
    688.59x = 388,540.81
  5. Step 5: Solve for x
    x = 388,540.81/688.59
  6. Step 6: Final answer
    x = 564.26

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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.