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Finding the Fourth Proportional to 600.85, 829.16 and 338.95

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Solution

The fourth proportional to 600.85, 829.16 and 338.95 is: 467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.85 : 829.16 = 338.95 : x
  2. Step 2: Convert to fraction form
    600.85/829.16 = 338.95/x
  3. Step 3: Cross multiply
    600.85x = 829.16 × 338.95
  4. Step 4: Simplify right side
    600.85x = 281,039.64
  5. Step 5: Solve for x
    x = 281,039.64/600.85
  6. Step 6: Final answer
    x = 467.74

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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.