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Finding the Fourth Proportional to 600.16, 828.25 and 338.19

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Solution

The fourth proportional to 600.16, 828.25 and 338.19 is: 466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.16 : 828.25 = 338.19 : x
  2. Step 2: Convert to fraction form
    600.16/828.25 = 338.19/x
  3. Step 3: Cross multiply
    600.16x = 828.25 × 338.19
  4. Step 4: Simplify right side
    600.16x = 280,105.87
  5. Step 5: Solve for x
    x = 280,105.87/600.16
  6. Step 6: Final answer
    x = 466.72

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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.