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Finding the Fourth Proportional to 514.02, 771.49 and 240.27

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Solution

The fourth proportional to 514.02, 771.49 and 240.27 is: 360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.02 : 771.49 = 240.27 : x
  2. Step 2: Convert to fraction form
    514.02/771.49 = 240.27/x
  3. Step 3: Cross multiply
    514.02x = 771.49 × 240.27
  4. Step 4: Simplify right side
    514.02x = 185,365.90
  5. Step 5: Solve for x
    x = 185,365.90/514.02
  6. Step 6: Final answer
    x = 360.62

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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.