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Finding the Fourth Proportional to 663.97, 993.90 and 490.84

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Solution

The fourth proportional to 663.97, 993.90 and 490.84 is: 734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.97 : 993.90 = 490.84 : x
  2. Step 2: Convert to fraction form
    663.97/993.90 = 490.84/x
  3. Step 3: Cross multiply
    663.97x = 993.90 × 490.84
  4. Step 4: Simplify right side
    663.97x = 487,845.88
  5. Step 5: Solve for x
    x = 487,845.88/663.97
  6. Step 6: Final answer
    x = 734.74

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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.