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Finding the Fourth Proportional to 400.44, 600.12 and 207.84

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Solution

The fourth proportional to 400.44, 600.12 and 207.84 is: 311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.44 : 600.12 = 207.84 : x
  2. Step 2: Convert to fraction form
    400.44/600.12 = 207.84/x
  3. Step 3: Cross multiply
    400.44x = 600.12 × 207.84
  4. Step 4: Simplify right side
    400.44x = 124,728.94
  5. Step 5: Solve for x
    x = 124,728.94/400.44
  6. Step 6: Final answer
    x = 311.48

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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.