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Finding the Fourth Proportional to 600.03, 827.97 and 334.41

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Solution

The fourth proportional to 600.03, 827.97 and 334.41 is: 461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.03 : 827.97 = 334.41 : x
  2. Step 2: Convert to fraction form
    600.03/827.97 = 334.41/x
  3. Step 3: Cross multiply
    600.03x = 827.97 × 334.41
  4. Step 4: Simplify right side
    600.03x = 276,877.09
  5. Step 5: Solve for x
    x = 276,877.09/600.03
  6. Step 6: Final answer
    x = 461.44

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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.