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Finding the Fourth Proportional to 682.97, 942.46 and 388.17

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Solution

The fourth proportional to 682.97, 942.46 and 388.17 is: 535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.97 : 942.46 = 388.17 : x
  2. Step 2: Convert to fraction form
    682.97/942.46 = 388.17/x
  3. Step 3: Cross multiply
    682.97x = 942.46 × 388.17
  4. Step 4: Simplify right side
    682.97x = 365,833.73
  5. Step 5: Solve for x
    x = 365,833.73/682.97
  6. Step 6: Final answer
    x = 535.66

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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.