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Finding the Fourth Proportional to 512.13, 769.36 and 442.98

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Solution

The fourth proportional to 512.13, 769.36 and 442.98 is: 665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.13 : 769.36 = 442.98 : x
  2. Step 2: Convert to fraction form
    512.13/769.36 = 442.98/x
  3. Step 3: Cross multiply
    512.13x = 769.36 × 442.98
  4. Step 4: Simplify right side
    512.13x = 340,811.09
  5. Step 5: Solve for x
    x = 340,811.09/512.13
  6. Step 6: Final answer
    x = 665.48

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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.