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Finding the Fourth Proportional to 600, 828 and 338.02

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Solution

The fourth proportional to 600, 828 and 338.02 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 828 = 338.02 : x
  2. Step 2: Convert to fraction form
    600/828 = 338.02/x
  3. Step 3: Cross multiply
    600x = 828 × 338.02
  4. Step 4: Simplify right side
    600x = 279,880.56
  5. Step 5: Solve for x
    x = 279,880.56/600
  6. Step 6: Final answer
    x = 466.47

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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.