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Finding the Fourth Proportional to 682.31, 942.01 and 420.41

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Solution

The fourth proportional to 682.31, 942.01 and 420.41 is: 580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.31 : 942.01 = 420.41 : x
  2. Step 2: Convert to fraction form
    682.31/942.01 = 420.41/x
  3. Step 3: Cross multiply
    682.31x = 942.01 × 420.41
  4. Step 4: Simplify right side
    682.31x = 396,024.66
  5. Step 5: Solve for x
    x = 396,024.66/682.31
  6. Step 6: Final answer
    x = 580.42

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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.