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Finding the Fourth Proportional to 660.89, 911.85 and 398.90

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Solution

The fourth proportional to 660.89, 911.85 and 398.90 is: 550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.89 : 911.85 = 398.90 : x
  2. Step 2: Convert to fraction form
    660.89/911.85 = 398.90/x
  3. Step 3: Cross multiply
    660.89x = 911.85 × 398.90
  4. Step 4: Simplify right side
    660.89x = 363,736.97
  5. Step 5: Solve for x
    x = 363,736.97/660.89
  6. Step 6: Final answer
    x = 550.37

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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.