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Finding the Fourth Proportional to 299.27, 412.75 and 297.74

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Solution

The fourth proportional to 299.27, 412.75 and 297.74 is: 410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.27 : 412.75 = 297.74 : x
  2. Step 2: Convert to fraction form
    299.27/412.75 = 297.74/x
  3. Step 3: Cross multiply
    299.27x = 412.75 × 297.74
  4. Step 4: Simplify right side
    299.27x = 122,891.91
  5. Step 5: Solve for x
    x = 122,891.91/299.27
  6. Step 6: Final answer
    x = 410.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.