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Finding the Fourth Proportional to 600.90, 829.22 and 338.92

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Solution

The fourth proportional to 600.90, 829.22 and 338.92 is: 467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.90 : 829.22 = 338.92 : x
  2. Step 2: Convert to fraction form
    600.90/829.22 = 338.92/x
  3. Step 3: Cross multiply
    600.90x = 829.22 × 338.92
  4. Step 4: Simplify right side
    600.90x = 281,039.24
  5. Step 5: Solve for x
    x = 281,039.24/600.90
  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.