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Finding the Fourth Proportional to 520.74, 781.37 and 246.90

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Solution

The fourth proportional to 520.74, 781.37 and 246.90 is: 370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.74 : 781.37 = 246.90 : x
  2. Step 2: Convert to fraction form
    520.74/781.37 = 246.90/x
  3. Step 3: Cross multiply
    520.74x = 781.37 × 246.90
  4. Step 4: Simplify right side
    520.74x = 192,919.02
  5. Step 5: Solve for x
    x = 192,919.02/520.74
  6. Step 6: Final answer
    x = 370.47

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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.