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Finding the Fourth Proportional to 519.25, 779.10 and 259.51

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Solution

The fourth proportional to 519.25, 779.10 and 259.51 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.25 : 779.10 = 259.51 : x
  2. Step 2: Convert to fraction form
    519.25/779.10 = 259.51/x
  3. Step 3: Cross multiply
    519.25x = 779.10 × 259.51
  4. Step 4: Simplify right side
    519.25x = 202,184.24
  5. Step 5: Solve for x
    x = 202,184.24/519.25
  6. Step 6: Final answer
    x = 389.38

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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.