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Finding the Fourth Proportional to 664.23, 996.48 and 299.07

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Solution

The fourth proportional to 664.23, 996.48 and 299.07 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.23 : 996.48 = 299.07 : x
  2. Step 2: Convert to fraction form
    664.23/996.48 = 299.07/x
  3. Step 3: Cross multiply
    664.23x = 996.48 × 299.07
  4. Step 4: Simplify right side
    664.23x = 298,017.27
  5. Step 5: Solve for x
    x = 298,017.27/664.23
  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.