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Finding the Fourth Proportional to 512.21, 706.90 and 372.28

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Solution

The fourth proportional to 512.21, 706.90 and 372.28 is: 513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.21 : 706.90 = 372.28 : x
  2. Step 2: Convert to fraction form
    512.21/706.90 = 372.28/x
  3. Step 3: Cross multiply
    512.21x = 706.90 × 372.28
  4. Step 4: Simplify right side
    512.21x = 263,164.73
  5. Step 5: Solve for x
    x = 263,164.73/512.21
  6. Step 6: Final answer
    x = 513.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.