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Finding the Fourth Proportional to 577.12, 863.16 and 345.44

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Solution

The fourth proportional to 577.12, 863.16 and 345.44 is: 516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 863.16 = 345.44 : x
  2. Step 2: Convert to fraction form
    577.12/863.16 = 345.44/x
  3. Step 3: Cross multiply
    577.12x = 863.16 × 345.44
  4. Step 4: Simplify right side
    577.12x = 298,169.99
  5. Step 5: Solve for x
    x = 298,169.99/577.12
  6. Step 6: Final answer
    x = 516.65

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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.