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Finding the Fourth Proportional to 512.66, 766.62 and 381.14

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Solution

The fourth proportional to 512.66, 766.62 and 381.14 is: 569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 766.62 = 381.14 : x
  2. Step 2: Convert to fraction form
    512.66/766.62 = 381.14/x
  3. Step 3: Cross multiply
    512.66x = 766.62 × 381.14
  4. Step 4: Simplify right side
    512.66x = 292,189.55
  5. Step 5: Solve for x
    x = 292,189.55/512.66
  6. Step 6: Final answer
    x = 569.95

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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.