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Finding the Fourth Proportional to 687.89, 949.36 and 408.17

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Solution

The fourth proportional to 687.89, 949.36 and 408.17 is: 563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.89 : 949.36 = 408.17 : x
  2. Step 2: Convert to fraction form
    687.89/949.36 = 408.17/x
  3. Step 3: Cross multiply
    687.89x = 949.36 × 408.17
  4. Step 4: Simplify right side
    687.89x = 387,500.27
  5. Step 5: Solve for x
    x = 387,500.27/687.89
  6. Step 6: Final answer
    x = 563.32

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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.