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Finding the Fourth Proportional to 289.35, 433.92 and 83.91

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Solution

The fourth proportional to 289.35, 433.92 and 83.91 is: 125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.35 : 433.92 = 83.91 : x
  2. Step 2: Convert to fraction form
    289.35/433.92 = 83.91/x
  3. Step 3: Cross multiply
    289.35x = 433.92 × 83.91
  4. Step 4: Simplify right side
    289.35x = 36,410.23
  5. Step 5: Solve for x
    x = 36,410.23/289.35
  6. Step 6: Final answer
    x = 125.83

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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.