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Finding the Fourth Proportional to 301.92, 414 and 299.04

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Solution

The fourth proportional to 301.92, 414 and 299.04 is: 410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 414 = 299.04 : x
  2. Step 2: Convert to fraction form
    301.92/414 = 299.04/x
  3. Step 3: Cross multiply
    301.92x = 414 × 299.04
  4. Step 4: Simplify right side
    301.92x = 123,802.56
  5. Step 5: Solve for x
    x = 123,802.56/301.92
  6. Step 6: Final answer
    x = 410.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.