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Finding the Fourth Proportional to 682.92, 942.18 and 420.48

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Solution

The fourth proportional to 682.92, 942.18 and 420.48 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.92 : 942.18 = 420.48 : x
  2. Step 2: Convert to fraction form
    682.92/942.18 = 420.48/x
  3. Step 3: Cross multiply
    682.92x = 942.18 × 420.48
  4. Step 4: Simplify right side
    682.92x = 396,167.85
  5. Step 5: Solve for x
    x = 396,167.85/682.92
  6. Step 6: Final answer
    x = 580.11

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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.