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Finding the Fourth Proportional to 580.57, 871.00 and 190.63

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Solution

The fourth proportional to 580.57, 871.00 and 190.63 is: 285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.57 : 871.00 = 190.63 : x
  2. Step 2: Convert to fraction form
    580.57/871.00 = 190.63/x
  3. Step 3: Cross multiply
    580.57x = 871.00 × 190.63
  4. Step 4: Simplify right side
    580.57x = 166,037.96
  5. Step 5: Solve for x
    x = 166,037.96/580.57
  6. Step 6: Final answer
    x = 285.99

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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.