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Finding the Fourth Proportional to 443.92, 665.83 and 299.34

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Solution

The fourth proportional to 443.92, 665.83 and 299.34 is: 448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.92 : 665.83 = 299.34 : x
  2. Step 2: Convert to fraction form
    443.92/665.83 = 299.34/x
  3. Step 3: Cross multiply
    443.92x = 665.83 × 299.34
  4. Step 4: Simplify right side
    443.92x = 199,309.55
  5. Step 5: Solve for x
    x = 199,309.55/443.92
  6. Step 6: Final answer
    x = 448.98

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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.