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Finding the Fourth Proportional to 519.10, 779.16 and 389.26

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Solution

The fourth proportional to 519.10, 779.16 and 389.26 is: 584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 779.16 = 389.26 : x
  2. Step 2: Convert to fraction form
    519.10/779.16 = 389.26/x
  3. Step 3: Cross multiply
    519.10x = 779.16 × 389.26
  4. Step 4: Simplify right side
    519.10x = 303,295.82
  5. Step 5: Solve for x
    x = 303,295.82/519.10
  6. Step 6: Final answer
    x = 584.27

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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.