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Finding the Fourth Proportional to 939.13, 1,408.96 and 281.05

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Solution

The fourth proportional to 939.13, 1,408.96 and 281.05 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.13 : 1,408.96 = 281.05 : x
  2. Step 2: Convert to fraction form
    939.13/1,408.96 = 281.05/x
  3. Step 3: Cross multiply
    939.13x = 1,408.96 × 281.05
  4. Step 4: Simplify right side
    939.13x = 395,992.96
  5. Step 5: Solve for x
    x = 395,992.96/939.13
  6. Step 6: Final answer
    x = 421.66

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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.