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Finding the Fourth Proportional to 600.98, 829.32 and 338.99

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Solution

The fourth proportional to 600.98, 829.32 and 338.99 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.98 : 829.32 = 338.99 : x
  2. Step 2: Convert to fraction form
    600.98/829.32 = 338.99/x
  3. Step 3: Cross multiply
    600.98x = 829.32 × 338.99
  4. Step 4: Simplify right side
    600.98x = 281,127.04
  5. Step 5: Solve for x
    x = 281,127.04/600.98
  6. Step 6: Final answer
    x = 467.78

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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.