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Finding the Fourth Proportional to 682.62, 941.97 and 387.87

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Solution

The fourth proportional to 682.62, 941.97 and 387.87 is: 535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 941.97 = 387.87 : x
  2. Step 2: Convert to fraction form
    682.62/941.97 = 387.87/x
  3. Step 3: Cross multiply
    682.62x = 941.97 × 387.87
  4. Step 4: Simplify right side
    682.62x = 365,361.90
  5. Step 5: Solve for x
    x = 365,361.90/682.62
  6. Step 6: Final answer
    x = 535.23

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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.