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Finding the Fourth Proportional to 600.87, 829.10 and 338.88

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Solution

The fourth proportional to 600.87, 829.10 and 338.88 is: 467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.87 : 829.10 = 338.88 : x
  2. Step 2: Convert to fraction form
    600.87/829.10 = 338.88/x
  3. Step 3: Cross multiply
    600.87x = 829.10 × 338.88
  4. Step 4: Simplify right side
    600.87x = 280,965.41
  5. Step 5: Solve for x
    x = 280,965.41/600.87
  6. Step 6: Final answer
    x = 467.60

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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.