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Finding the Fourth Proportional to 520.90, 781.19 and 246.91

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Solution

The fourth proportional to 520.90, 781.19 and 246.91 is: 370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.90 : 781.19 = 246.91 : x
  2. Step 2: Convert to fraction form
    520.90/781.19 = 246.91/x
  3. Step 3: Cross multiply
    520.90x = 781.19 × 246.91
  4. Step 4: Simplify right side
    520.90x = 192,883.62
  5. Step 5: Solve for x
    x = 192,883.62/520.90
  6. Step 6: Final answer
    x = 370.29

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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.