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Finding the Fourth Proportional to 600.22, 828.31 and 338.23

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Solution

The fourth proportional to 600.22, 828.31 and 338.23 is: 466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.22 : 828.31 = 338.23 : x
  2. Step 2: Convert to fraction form
    600.22/828.31 = 338.23/x
  3. Step 3: Cross multiply
    600.22x = 828.31 × 338.23
  4. Step 4: Simplify right side
    600.22x = 280,159.29
  5. Step 5: Solve for x
    x = 280,159.29/600.22
  6. Step 6: Final answer
    x = 466.76

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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.