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Finding the Fourth Proportional to 682.94, 942.50 and 420.97

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Solution

The fourth proportional to 682.94, 942.50 and 420.97 is: 580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.94 : 942.50 = 420.97 : x
  2. Step 2: Convert to fraction form
    682.94/942.50 = 420.97/x
  3. Step 3: Cross multiply
    682.94x = 942.50 × 420.97
  4. Step 4: Simplify right side
    682.94x = 396,764.23
  5. Step 5: Solve for x
    x = 396,764.23/682.94
  6. Step 6: Final answer
    x = 580.96

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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.