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Finding the Fourth Proportional to 580.74, 871.08 and 215.59

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Solution

The fourth proportional to 580.74, 871.08 and 215.59 is: 323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 871.08 = 215.59 : x
  2. Step 2: Convert to fraction form
    580.74/871.08 = 215.59/x
  3. Step 3: Cross multiply
    580.74x = 871.08 × 215.59
  4. Step 4: Simplify right side
    580.74x = 187,796.14
  5. Step 5: Solve for x
    x = 187,796.14/580.74
  6. Step 6: Final answer
    x = 323.37

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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.