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Finding the Fourth Proportional to 600.47, 828.46 and 338.43

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Solution

The fourth proportional to 600.47, 828.46 and 338.43 is: 466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.47 : 828.46 = 338.43 : x
  2. Step 2: Convert to fraction form
    600.47/828.46 = 338.43/x
  3. Step 3: Cross multiply
    600.47x = 828.46 × 338.43
  4. Step 4: Simplify right side
    600.47x = 280,376.10
  5. Step 5: Solve for x
    x = 280,376.10/600.47
  6. Step 6: Final answer
    x = 466.93

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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.