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Finding the Fourth Proportional to 400.01, 600.02 and 378.95

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Solution

The fourth proportional to 400.01, 600.02 and 378.95 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.01 : 600.02 = 378.95 : x
  2. Step 2: Convert to fraction form
    400.01/600.02 = 378.95/x
  3. Step 3: Cross multiply
    400.01x = 600.02 × 378.95
  4. Step 4: Simplify right side
    400.01x = 227,377.58
  5. Step 5: Solve for x
    x = 227,377.58/400.01
  6. Step 6: Final answer
    x = 568.43

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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.