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Finding the Fourth Proportional to 600.40, 828.50 and 338.36

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Solution

The fourth proportional to 600.40, 828.50 and 338.36 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 828.50 = 338.36 : x
  2. Step 2: Convert to fraction form
    600.40/828.50 = 338.36/x
  3. Step 3: Cross multiply
    600.40x = 828.50 × 338.36
  4. Step 4: Simplify right side
    600.40x = 280,331.26
  5. Step 5: Solve for x
    x = 280,331.26/600.40
  6. Step 6: Final answer
    x = 466.91

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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.