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Finding the Fourth Proportional to 580.60, 871.16 and 272.28

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Solution

The fourth proportional to 580.60, 871.16 and 272.28 is: 408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.60 : 871.16 = 272.28 : x
  2. Step 2: Convert to fraction form
    580.60/871.16 = 272.28/x
  3. Step 3: Cross multiply
    580.60x = 871.16 × 272.28
  4. Step 4: Simplify right side
    580.60x = 237,199.44
  5. Step 5: Solve for x
    x = 237,199.44/580.60
  6. Step 6: Final answer
    x = 408.54

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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.