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Finding the Fourth Proportional to 400.02, 599.67 and 204.75

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Solution

The fourth proportional to 400.02, 599.67 and 204.75 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.02 : 599.67 = 204.75 : x
  2. Step 2: Convert to fraction form
    400.02/599.67 = 204.75/x
  3. Step 3: Cross multiply
    400.02x = 599.67 × 204.75
  4. Step 4: Simplify right side
    400.02x = 122,782.43
  5. Step 5: Solve for x
    x = 122,782.43/400.02
  6. Step 6: Final answer
    x = 306.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.