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Finding the Fourth Proportional to 580.77, 871.41 and 234.78

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Solution

The fourth proportional to 580.77, 871.41 and 234.78 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 871.41 = 234.78 : x
  2. Step 2: Convert to fraction form
    580.77/871.41 = 234.78/x
  3. Step 3: Cross multiply
    580.77x = 871.41 × 234.78
  4. Step 4: Simplify right side
    580.77x = 204,591.34
  5. Step 5: Solve for x
    x = 204,591.34/580.77
  6. Step 6: Final answer
    x = 352.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.