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Finding the Fourth Proportional to 400.26, 599.82 and 208.02

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Solution

The fourth proportional to 400.26, 599.82 and 208.02 is: 311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.26 : 599.82 = 208.02 : x
  2. Step 2: Convert to fraction form
    400.26/599.82 = 208.02/x
  3. Step 3: Cross multiply
    400.26x = 599.82 × 208.02
  4. Step 4: Simplify right side
    400.26x = 124,774.56
  5. Step 5: Solve for x
    x = 124,774.56/400.26
  6. Step 6: Final answer
    x = 311.73

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