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Finding the Fourth Proportional to 663.78, 996.27 and 459.66

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Solution

The fourth proportional to 663.78, 996.27 and 459.66 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.78 : 996.27 = 459.66 : x
  2. Step 2: Convert to fraction form
    663.78/996.27 = 459.66/x
  3. Step 3: Cross multiply
    663.78x = 996.27 × 459.66
  4. Step 4: Simplify right side
    663.78x = 457,945.47
  5. Step 5: Solve for x
    x = 457,945.47/663.78
  6. Step 6: Final answer
    x = 689.91

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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.