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Finding the Fourth Proportional to 520.90, 781.40 and 150.75

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Solution

The fourth proportional to 520.90, 781.40 and 150.75 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.90 : 781.40 = 150.75 : x
  2. Step 2: Convert to fraction form
    520.90/781.40 = 150.75/x
  3. Step 3: Cross multiply
    520.90x = 781.40 × 150.75
  4. Step 4: Simplify right side
    520.90x = 117,796.43
  5. Step 5: Solve for x
    x = 117,796.43/520.90
  6. Step 6: Final answer
    x = 226.14

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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.