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Finding the Fourth Proportional to 938.99, 1,408.71 and 289.73

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Solution

The fourth proportional to 938.99, 1,408.71 and 289.73 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.99 : 1,408.71 = 289.73 : x
  2. Step 2: Convert to fraction form
    938.99/1,408.71 = 289.73/x
  3. Step 3: Cross multiply
    938.99x = 1,408.71 × 289.73
  4. Step 4: Simplify right side
    938.99x = 408,145.55
  5. Step 5: Solve for x
    x = 408,145.55/938.99
  6. Step 6: Final answer
    x = 434.66

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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.