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Finding the Fourth Proportional to 513.44, 769.60 and 359.44

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Solution

The fourth proportional to 513.44, 769.60 and 359.44 is: 538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 769.60 = 359.44 : x
  2. Step 2: Convert to fraction form
    513.44/769.60 = 359.44/x
  3. Step 3: Cross multiply
    513.44x = 769.60 × 359.44
  4. Step 4: Simplify right side
    513.44x = 276,623.55
  5. Step 5: Solve for x
    x = 276,623.55/513.44
  6. Step 6: Final answer
    x = 538.77

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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.