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Finding the Fourth Proportional to 682.14, 941.78 and 446.52

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Solution

The fourth proportional to 682.14, 941.78 and 446.52 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.14 : 941.78 = 446.52 : x
  2. Step 2: Convert to fraction form
    682.14/941.78 = 446.52/x
  3. Step 3: Cross multiply
    682.14x = 941.78 × 446.52
  4. Step 4: Simplify right side
    682.14x = 420,520.44
  5. Step 5: Solve for x
    x = 420,520.44/682.14
  6. Step 6: Final answer
    x = 616.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.