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Finding the Fourth Proportional to 519.64, 779.54 and 465.80

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Solution

The fourth proportional to 519.64, 779.54 and 465.80 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.64 : 779.54 = 465.80 : x
  2. Step 2: Convert to fraction form
    519.64/779.54 = 465.80/x
  3. Step 3: Cross multiply
    519.64x = 779.54 × 465.80
  4. Step 4: Simplify right side
    519.64x = 363,109.73
  5. Step 5: Solve for x
    x = 363,109.73/519.64
  6. Step 6: Final answer
    x = 698.77

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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.