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Finding the Fourth Proportional to 439.19, 605.97 and 299.06

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Solution

The fourth proportional to 439.19, 605.97 and 299.06 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.19 : 605.97 = 299.06 : x
  2. Step 2: Convert to fraction form
    439.19/605.97 = 299.06/x
  3. Step 3: Cross multiply
    439.19x = 605.97 × 299.06
  4. Step 4: Simplify right side
    439.19x = 181,221.39
  5. Step 5: Solve for x
    x = 181,221.39/439.19
  6. Step 6: Final answer
    x = 412.63

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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.