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Finding the Fourth Proportional to 518.91, 776.49 and 381.60

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Solution

The fourth proportional to 518.91, 776.49 and 381.60 is: 571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.91 : 776.49 = 381.60 : x
  2. Step 2: Convert to fraction form
    518.91/776.49 = 381.60/x
  3. Step 3: Cross multiply
    518.91x = 776.49 × 381.60
  4. Step 4: Simplify right side
    518.91x = 296,308.58
  5. Step 5: Solve for x
    x = 296,308.58/518.91
  6. Step 6: Final answer
    x = 571.02

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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.