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Finding the Fourth Proportional to 682.71, 941.46 and 420.68

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Solution

The fourth proportional to 682.71, 941.46 and 420.68 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.71 : 941.46 = 420.68 : x
  2. Step 2: Convert to fraction form
    682.71/941.46 = 420.68/x
  3. Step 3: Cross multiply
    682.71x = 941.46 × 420.68
  4. Step 4: Simplify right side
    682.71x = 396,053.39
  5. Step 5: Solve for x
    x = 396,053.39/682.71
  6. Step 6: Final answer
    x = 580.12

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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.