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Finding the Fourth Proportional to 519.59, 779.88 and 382.25

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Solution

The fourth proportional to 519.59, 779.88 and 382.25 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.59 : 779.88 = 382.25 : x
  2. Step 2: Convert to fraction form
    519.59/779.88 = 382.25/x
  3. Step 3: Cross multiply
    519.59x = 779.88 × 382.25
  4. Step 4: Simplify right side
    519.59x = 298,105.23
  5. Step 5: Solve for x
    x = 298,105.23/519.59
  6. Step 6: Final answer
    x = 573.74

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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.