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Finding the Fourth Proportional to 519.53, 779.28 and 194.81

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Solution

The fourth proportional to 519.53, 779.28 and 194.81 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.53 : 779.28 = 194.81 : x
  2. Step 2: Convert to fraction form
    519.53/779.28 = 194.81/x
  3. Step 3: Cross multiply
    519.53x = 779.28 × 194.81
  4. Step 4: Simplify right side
    519.53x = 151,813.49
  5. Step 5: Solve for x
    x = 151,813.49/519.53
  6. Step 6: Final answer
    x = 292.22

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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.