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Finding the Fourth Proportional to 580.70, 871.14 and 190.59

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Solution

The fourth proportional to 580.70, 871.14 and 190.59 is: 285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 871.14 = 190.59 : x
  2. Step 2: Convert to fraction form
    580.70/871.14 = 190.59/x
  3. Step 3: Cross multiply
    580.70x = 871.14 × 190.59
  4. Step 4: Simplify right side
    580.70x = 166,030.57
  5. Step 5: Solve for x
    x = 166,030.57/580.70
  6. Step 6: Final answer
    x = 285.92

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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.