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Finding the Fourth Proportional to 400.60, 600.97 and 140.59

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Solution

The fourth proportional to 400.60, 600.97 and 140.59 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.60 : 600.97 = 140.59 : x
  2. Step 2: Convert to fraction form
    400.60/600.97 = 140.59/x
  3. Step 3: Cross multiply
    400.60x = 600.97 × 140.59
  4. Step 4: Simplify right side
    400.60x = 84,487.66
  5. Step 5: Solve for x
    x = 84,487.66/400.60
  6. Step 6: Final answer
    x = 210.91

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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.