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Finding the Fourth Proportional to 600.52, 828.70 and 338.49

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Solution

The fourth proportional to 600.52, 828.70 and 338.49 is: 467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.52 : 828.70 = 338.49 : x
  2. Step 2: Convert to fraction form
    600.52/828.70 = 338.49/x
  3. Step 3: Cross multiply
    600.52x = 828.70 × 338.49
  4. Step 4: Simplify right side
    600.52x = 280,500.83
  5. Step 5: Solve for x
    x = 280,500.83/600.52
  6. Step 6: Final answer
    x = 467.10

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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.