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Finding the Fourth Proportional to 520.56, 779.27 and 338.04

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Solution

The fourth proportional to 520.56, 779.27 and 338.04 is: 506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 779.27 = 338.04 : x
  2. Step 2: Convert to fraction form
    520.56/779.27 = 338.04/x
  3. Step 3: Cross multiply
    520.56x = 779.27 × 338.04
  4. Step 4: Simplify right side
    520.56x = 263,424.43
  5. Step 5: Solve for x
    x = 263,424.43/520.56
  6. Step 6: Final answer
    x = 506.04

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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.