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Finding the Fourth Proportional to 600.25, 828.25 and 338.26

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Solution

The fourth proportional to 600.25, 828.25 and 338.26 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.25 : 828.25 = 338.26 : x
  2. Step 2: Convert to fraction form
    600.25/828.25 = 338.26/x
  3. Step 3: Cross multiply
    600.25x = 828.25 × 338.26
  4. Step 4: Simplify right side
    600.25x = 280,163.85
  5. Step 5: Solve for x
    x = 280,163.85/600.25
  6. Step 6: Final answer
    x = 466.75

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Similar ratio
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1.5x scale

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.