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Finding the Fourth Proportional to 665.29, 998.42 and 300.13

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Solution

The fourth proportional to 665.29, 998.42 and 300.13 is: 450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.29 : 998.42 = 300.13 : x
  2. Step 2: Convert to fraction form
    665.29/998.42 = 300.13/x
  3. Step 3: Cross multiply
    665.29x = 998.42 × 300.13
  4. Step 4: Simplify right side
    665.29x = 299,651.80
  5. Step 5: Solve for x
    x = 299,651.80/665.29
  6. Step 6: Final answer
    x = 450.41

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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.