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Finding the Fourth Proportional to 663.40, 993.21 and 441.37

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Solution

The fourth proportional to 663.40, 993.21 and 441.37 is: 660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.40 : 993.21 = 441.37 : x
  2. Step 2: Convert to fraction form
    663.40/993.21 = 441.37/x
  3. Step 3: Cross multiply
    663.40x = 993.21 × 441.37
  4. Step 4: Simplify right side
    663.40x = 438,373.10
  5. Step 5: Solve for x
    x = 438,373.10/663.40
  6. Step 6: Final answer
    x = 660.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.