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Finding the Fourth Proportional to 580.86, 871.41 and 196.14

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Solution

The fourth proportional to 580.86, 871.41 and 196.14 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.86 : 871.41 = 196.14 : x
  2. Step 2: Convert to fraction form
    580.86/871.41 = 196.14/x
  3. Step 3: Cross multiply
    580.86x = 871.41 × 196.14
  4. Step 4: Simplify right side
    580.86x = 170,918.36
  5. Step 5: Solve for x
    x = 170,918.36/580.86
  6. Step 6: Final answer
    x = 294.25

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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.