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Finding the Fourth Proportional to 600.91, 829.24 and 338.92

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Solution

The fourth proportional to 600.91, 829.24 and 338.92 is: 467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.91 : 829.24 = 338.92 : x
  2. Step 2: Convert to fraction form
    600.91/829.24 = 338.92/x
  3. Step 3: Cross multiply
    600.91x = 829.24 × 338.92
  4. Step 4: Simplify right side
    600.91x = 281,043.10
  5. Step 5: Solve for x
    x = 281,043.10/600.91
  6. Step 6: Final answer
    x = 467.70

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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.