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Finding the Fourth Proportional to 513.85, 771.17 and 377.25

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Solution

The fourth proportional to 513.85, 771.17 and 377.25 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.85 : 771.17 = 377.25 : x
  2. Step 2: Convert to fraction form
    513.85/771.17 = 377.25/x
  3. Step 3: Cross multiply
    513.85x = 771.17 × 377.25
  4. Step 4: Simplify right side
    513.85x = 290,923.88
  5. Step 5: Solve for x
    x = 290,923.88/513.85
  6. Step 6: Final answer
    x = 566.16

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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.