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Finding the Fourth Proportional to 580.91, 871.37 and 196.16

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Solution

The fourth proportional to 580.91, 871.37 and 196.16 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.91 : 871.37 = 196.16 : x
  2. Step 2: Convert to fraction form
    580.91/871.37 = 196.16/x
  3. Step 3: Cross multiply
    580.91x = 871.37 × 196.16
  4. Step 4: Simplify right side
    580.91x = 170,927.94
  5. Step 5: Solve for x
    x = 170,927.94/580.91
  6. Step 6: Final answer
    x = 294.24

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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.