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Finding the Fourth Proportional to 939.23, 1,408.76 and 289.97

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Solution

The fourth proportional to 939.23, 1,408.76 and 289.97 is: 434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.23 : 1,408.76 = 289.97 : x
  2. Step 2: Convert to fraction form
    939.23/1,408.76 = 289.97/x
  3. Step 3: Cross multiply
    939.23x = 1,408.76 × 289.97
  4. Step 4: Simplify right side
    939.23x = 408,498.14
  5. Step 5: Solve for x
    x = 408,498.14/939.23
  6. Step 6: Final answer
    x = 434.93

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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.