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Finding the Fourth Proportional to 682.20, 941.42 and 398.67

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Solution

The fourth proportional to 682.20, 941.42 and 398.67 is: 550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 941.42 = 398.67 : x
  2. Step 2: Convert to fraction form
    682.20/941.42 = 398.67/x
  3. Step 3: Cross multiply
    682.20x = 941.42 × 398.67
  4. Step 4: Simplify right side
    682.20x = 375,313.92
  5. Step 5: Solve for x
    x = 375,313.92/682.20
  6. Step 6: Final answer
    x = 550.15

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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.