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Finding the Fourth Proportional to 663.92, 996.34 and 299.01

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Solution

The fourth proportional to 663.92, 996.34 and 299.01 is: 448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.92 : 996.34 = 299.01 : x
  2. Step 2: Convert to fraction form
    663.92/996.34 = 299.01/x
  3. Step 3: Cross multiply
    663.92x = 996.34 × 299.01
  4. Step 4: Simplify right side
    663.92x = 297,915.62
  5. Step 5: Solve for x
    x = 297,915.62/663.92
  6. Step 6: Final answer
    x = 448.73

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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.