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Finding the Fourth Proportional to 520.26, 779.46 and 337.68

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Solution

The fourth proportional to 520.26, 779.46 and 337.68 is: 505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.26 : 779.46 = 337.68 : x
  2. Step 2: Convert to fraction form
    520.26/779.46 = 337.68/x
  3. Step 3: Cross multiply
    520.26x = 779.46 × 337.68
  4. Step 4: Simplify right side
    520.26x = 263,208.05
  5. Step 5: Solve for x
    x = 263,208.05/520.26
  6. Step 6: Final answer
    x = 505.92

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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.