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Finding the Fourth Proportional to 557.21, 834.89 and 191.79

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Solution

The fourth proportional to 557.21, 834.89 and 191.79 is: 287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.21 : 834.89 = 191.79 : x
  2. Step 2: Convert to fraction form
    557.21/834.89 = 191.79/x
  3. Step 3: Cross multiply
    557.21x = 834.89 × 191.79
  4. Step 4: Simplify right side
    557.21x = 160,122.59
  5. Step 5: Solve for x
    x = 160,122.59/557.21
  6. Step 6: Final answer
    x = 287.37

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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.