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Finding the Fourth Proportional to 682.07, 941.02 and 416.44

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Solution

The fourth proportional to 682.07, 941.02 and 416.44 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.07 : 941.02 = 416.44 : x
  2. Step 2: Convert to fraction form
    682.07/941.02 = 416.44/x
  3. Step 3: Cross multiply
    682.07x = 941.02 × 416.44
  4. Step 4: Simplify right side
    682.07x = 391,876.02
  5. Step 5: Solve for x
    x = 391,876.02/682.07
  6. Step 6: Final answer
    x = 574.54

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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.