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Finding the Fourth Proportional to 580.86, 871.26 and 196.11

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Solution

The fourth proportional to 580.86, 871.26 and 196.11 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.86 : 871.26 = 196.11 : x
  2. Step 2: Convert to fraction form
    580.86/871.26 = 196.11/x
  3. Step 3: Cross multiply
    580.86x = 871.26 × 196.11
  4. Step 4: Simplify right side
    580.86x = 170,862.80
  5. Step 5: Solve for x
    x = 170,862.80/580.86
  6. Step 6: Final answer
    x = 294.15

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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.