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Finding the Fourth Proportional to 520.35, 779.43 and 325.44

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Solution

The fourth proportional to 520.35, 779.43 and 325.44 is: 487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.35 : 779.43 = 325.44 : x
  2. Step 2: Convert to fraction form
    520.35/779.43 = 325.44/x
  3. Step 3: Cross multiply
    520.35x = 779.43 × 325.44
  4. Step 4: Simplify right side
    520.35x = 253,657.70
  5. Step 5: Solve for x
    x = 253,657.70/520.35
  6. Step 6: Final answer
    x = 487.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.