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Finding the Fourth Proportional to 664.24, 996.74 and 299.00

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Solution

The fourth proportional to 664.24, 996.74 and 299.00 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.24 : 996.74 = 299.00 : x
  2. Step 2: Convert to fraction form
    664.24/996.74 = 299.00/x
  3. Step 3: Cross multiply
    664.24x = 996.74 × 299.00
  4. Step 4: Simplify right side
    664.24x = 298,028.15
  5. Step 5: Solve for x
    x = 298,028.15/664.24
  6. Step 6: Final answer
    x = 448.67

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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.