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Finding the Fourth Proportional to 520.06, 779.97 and 154.73

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Solution

The fourth proportional to 520.06, 779.97 and 154.73 is: 232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.06 : 779.97 = 154.73 : x
  2. Step 2: Convert to fraction form
    520.06/779.97 = 154.73/x
  3. Step 3: Cross multiply
    520.06x = 779.97 × 154.73
  4. Step 4: Simplify right side
    520.06x = 120,680.86
  5. Step 5: Solve for x
    x = 120,680.86/520.06
  6. Step 6: Final answer
    x = 232.05

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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.