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Finding the Fourth Proportional to 400.57, 600.64 and 140.54

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Solution

The fourth proportional to 400.57, 600.64 and 140.54 is: 210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 600.64 = 140.54 : x
  2. Step 2: Convert to fraction form
    400.57/600.64 = 140.54/x
  3. Step 3: Cross multiply
    400.57x = 600.64 × 140.54
  4. Step 4: Simplify right side
    400.57x = 84,410.59
  5. Step 5: Solve for x
    x = 84,410.59/400.57
  6. Step 6: Final answer
    x = 210.73

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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.