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Finding the Fourth Proportional to 514.56, 773.07 and 444.12

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Solution

The fourth proportional to 514.56, 773.07 and 444.12 is: 667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 773.07 = 444.12 : x
  2. Step 2: Convert to fraction form
    514.56/773.07 = 444.12/x
  3. Step 3: Cross multiply
    514.56x = 773.07 × 444.12
  4. Step 4: Simplify right side
    514.56x = 343,335.85
  5. Step 5: Solve for x
    x = 343,335.85/514.56
  6. Step 6: Final answer
    x = 667.24

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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.