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Finding the Fourth Proportional to 600.02, 827.98 and 338.03

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Solution

The fourth proportional to 600.02, 827.98 and 338.03 is: 466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.02 : 827.98 = 338.03 : x
  2. Step 2: Convert to fraction form
    600.02/827.98 = 338.03/x
  3. Step 3: Cross multiply
    600.02x = 827.98 × 338.03
  4. Step 4: Simplify right side
    600.02x = 279,882.08
  5. Step 5: Solve for x
    x = 279,882.08/600.02
  6. Step 6: Final answer
    x = 466.45

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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.