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Finding the Fourth Proportional to 664.26, 996.35 and 299.06

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Solution

The fourth proportional to 664.26, 996.35 and 299.06 is: 448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.26 : 996.35 = 299.06 : x
  2. Step 2: Convert to fraction form
    664.26/996.35 = 299.06/x
  3. Step 3: Cross multiply
    664.26x = 996.35 × 299.06
  4. Step 4: Simplify right side
    664.26x = 297,961.95
  5. Step 5: Solve for x
    x = 297,961.95/664.26
  6. Step 6: Final answer
    x = 448.56

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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.