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Finding the Fourth Proportional to 400.14, 600.01 and 308.61

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Solution

The fourth proportional to 400.14, 600.01 and 308.61 is: 462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.14 : 600.01 = 308.61 : x
  2. Step 2: Convert to fraction form
    400.14/600.01 = 308.61/x
  3. Step 3: Cross multiply
    400.14x = 600.01 × 308.61
  4. Step 4: Simplify right side
    400.14x = 185,168.31
  5. Step 5: Solve for x
    x = 185,168.31/400.14
  6. Step 6: Final answer
    x = 462.76

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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.