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Finding the Fourth Proportional to 580.99, 871.49 and 215.53

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Solution

The fourth proportional to 580.99, 871.49 and 215.53 is: 323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.99 : 871.49 = 215.53 : x
  2. Step 2: Convert to fraction form
    580.99/871.49 = 215.53/x
  3. Step 3: Cross multiply
    580.99x = 871.49 × 215.53
  4. Step 4: Simplify right side
    580.99x = 187,832.24
  5. Step 5: Solve for x
    x = 187,832.24/580.99
  6. Step 6: Final answer
    x = 323.30

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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.