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Finding the Fourth Proportional to 600.09, 828.14 and 338.12

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Solution

The fourth proportional to 600.09, 828.14 and 338.12 is: 466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.09 : 828.14 = 338.12 : x
  2. Step 2: Convert to fraction form
    600.09/828.14 = 338.12/x
  3. Step 3: Cross multiply
    600.09x = 828.14 × 338.12
  4. Step 4: Simplify right side
    600.09x = 280,004.87
  5. Step 5: Solve for x
    x = 280,004.87/600.09
  6. Step 6: Final answer
    x = 466.60

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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.