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Finding the Fourth Proportional to 519.95, 779.71 and 259.85

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Solution

The fourth proportional to 519.95, 779.71 and 259.85 is: 389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.95 : 779.71 = 259.85 : x
  2. Step 2: Convert to fraction form
    519.95/779.71 = 259.85/x
  3. Step 3: Cross multiply
    519.95x = 779.71 × 259.85
  4. Step 4: Simplify right side
    519.95x = 202,606.34
  5. Step 5: Solve for x
    x = 202,606.34/519.95
  6. Step 6: Final answer
    x = 389.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.