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Finding the Fourth Proportional to 299.82, 449.04 and 257.65

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Solution

The fourth proportional to 299.82, 449.04 and 257.65 is: 385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 449.04 = 257.65 : x
  2. Step 2: Convert to fraction form
    299.82/449.04 = 257.65/x
  3. Step 3: Cross multiply
    299.82x = 449.04 × 257.65
  4. Step 4: Simplify right side
    299.82x = 115,694.09
  5. Step 5: Solve for x
    x = 115,694.09/299.82
  6. Step 6: Final answer
    x = 385.88

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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.