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Finding the Fourth Proportional to 600.36, 828.60 and 338.40

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Solution

The fourth proportional to 600.36, 828.60 and 338.40 is: 467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.36 : 828.60 = 338.40 : x
  2. Step 2: Convert to fraction form
    600.36/828.60 = 338.40/x
  3. Step 3: Cross multiply
    600.36x = 828.60 × 338.40
  4. Step 4: Simplify right side
    600.36x = 280,398.24
  5. Step 5: Solve for x
    x = 280,398.24/600.36
  6. Step 6: Final answer
    x = 467.05

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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.