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Finding the Fourth Proportional to 688.09, 949.34 and 408.42

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Solution

The fourth proportional to 688.09, 949.34 and 408.42 is: 563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.09 : 949.34 = 408.42 : x
  2. Step 2: Convert to fraction form
    688.09/949.34 = 408.42/x
  3. Step 3: Cross multiply
    688.09x = 949.34 × 408.42
  4. Step 4: Simplify right side
    688.09x = 387,729.44
  5. Step 5: Solve for x
    x = 387,729.44/688.09
  6. Step 6: Final answer
    x = 563.49

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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.