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Finding the Fourth Proportional to 938.83, 1,408.47 and 289.57

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Solution

The fourth proportional to 938.83, 1,408.47 and 289.57 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.83 : 1,408.47 = 289.57 : x
  2. Step 2: Convert to fraction form
    938.83/1,408.47 = 289.57/x
  3. Step 3: Cross multiply
    938.83x = 1,408.47 × 289.57
  4. Step 4: Simplify right side
    938.83x = 407,843.62
  5. Step 5: Solve for x
    x = 407,843.62/938.83
  6. Step 6: Final answer
    x = 434.42

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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.