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Finding the Fourth Proportional to 512.66, 766.92 and 396.22

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Solution

The fourth proportional to 512.66, 766.92 and 396.22 is: 592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 766.92 = 396.22 : x
  2. Step 2: Convert to fraction form
    512.66/766.92 = 396.22/x
  3. Step 3: Cross multiply
    512.66x = 766.92 × 396.22
  4. Step 4: Simplify right side
    512.66x = 303,868.61
  5. Step 5: Solve for x
    x = 303,868.61/512.66
  6. Step 6: Final answer
    x = 592.74

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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.