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Finding the Fourth Proportional to 519.81, 779.72 and 259.80

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Solution

The fourth proportional to 519.81, 779.72 and 259.80 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.81 : 779.72 = 259.80 : x
  2. Step 2: Convert to fraction form
    519.81/779.72 = 259.80/x
  3. Step 3: Cross multiply
    519.81x = 779.72 × 259.80
  4. Step 4: Simplify right side
    519.81x = 202,569.96
  5. Step 5: Solve for x
    x = 202,569.96/519.81
  6. Step 6: Final answer
    x = 389.70

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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.