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Finding the Fourth Proportional to 512.73, 769.15 and 235.04

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Solution

The fourth proportional to 512.73, 769.15 and 235.04 is: 352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 769.15 = 235.04 : x
  2. Step 2: Convert to fraction form
    512.73/769.15 = 235.04/x
  3. Step 3: Cross multiply
    512.73x = 769.15 × 235.04
  4. Step 4: Simplify right side
    512.73x = 180,777.46
  5. Step 5: Solve for x
    x = 180,777.46/512.73
  6. Step 6: Final answer
    x = 352.58

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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.