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Finding the Fourth Proportional to 520.03, 779.77 and 195.22

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Solution

The fourth proportional to 520.03, 779.77 and 195.22 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.03 : 779.77 = 195.22 : x
  2. Step 2: Convert to fraction form
    520.03/779.77 = 195.22/x
  3. Step 3: Cross multiply
    520.03x = 779.77 × 195.22
  4. Step 4: Simplify right side
    520.03x = 152,226.70
  5. Step 5: Solve for x
    x = 152,226.70/520.03
  6. Step 6: Final answer
    x = 292.73

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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.