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Finding the Fourth Proportional to 520.44, 782.41 and 367.47

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Solution

The fourth proportional to 520.44, 782.41 and 367.47 is: 552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 782.41 = 367.47 : x
  2. Step 2: Convert to fraction form
    520.44/782.41 = 367.47/x
  3. Step 3: Cross multiply
    520.44x = 782.41 × 367.47
  4. Step 4: Simplify right side
    520.44x = 287,508.29
  5. Step 5: Solve for x
    x = 287,508.29/520.44
  6. Step 6: Final answer
    x = 552.43

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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.