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Finding the Fourth Proportional to 600.10, 828.14 and 338.11

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Solution

The fourth proportional to 600.10, 828.14 and 338.11 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.10 : 828.14 = 338.11 : x
  2. Step 2: Convert to fraction form
    600.10/828.14 = 338.11/x
  3. Step 3: Cross multiply
    600.10x = 828.14 × 338.11
  4. Step 4: Simplify right side
    600.10x = 280,000.72
  5. Step 5: Solve for x
    x = 280,000.72/600.10
  6. Step 6: Final answer
    x = 466.59

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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.