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Finding the Fourth Proportional to 600.02, 828.03 and 338.04

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Solution

The fourth proportional to 600.02, 828.03 and 338.04 is: 466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.02 : 828.03 = 338.04 : x
  2. Step 2: Convert to fraction form
    600.02/828.03 = 338.04/x
  3. Step 3: Cross multiply
    600.02x = 828.03 × 338.04
  4. Step 4: Simplify right side
    600.02x = 279,907.26
  5. Step 5: Solve for x
    x = 279,907.26/600.02
  6. Step 6: Final answer
    x = 466.49

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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.