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Finding the Fourth Proportional to 520.95, 781.44 and 174.27

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Solution

The fourth proportional to 520.95, 781.44 and 174.27 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.95 : 781.44 = 174.27 : x
  2. Step 2: Convert to fraction form
    520.95/781.44 = 174.27/x
  3. Step 3: Cross multiply
    520.95x = 781.44 × 174.27
  4. Step 4: Simplify right side
    520.95x = 136,181.55
  5. Step 5: Solve for x
    x = 136,181.55/520.95
  6. Step 6: Final answer
    x = 261.41

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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.