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Finding the Fourth Proportional to 682.40, 942.06 and 420.56

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Solution

The fourth proportional to 682.40, 942.06 and 420.56 is: 580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.40 : 942.06 = 420.56 : x
  2. Step 2: Convert to fraction form
    682.40/942.06 = 420.56/x
  3. Step 3: Cross multiply
    682.40x = 942.06 × 420.56
  4. Step 4: Simplify right side
    682.40x = 396,192.75
  5. Step 5: Solve for x
    x = 396,192.75/682.40
  6. Step 6: Final answer
    x = 580.59

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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.