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Finding the Fourth Proportional to 511.46, 766.63 and 251.16

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Solution

The fourth proportional to 511.46, 766.63 and 251.16 is: 376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.46 : 766.63 = 251.16 : x
  2. Step 2: Convert to fraction form
    511.46/766.63 = 251.16/x
  3. Step 3: Cross multiply
    511.46x = 766.63 × 251.16
  4. Step 4: Simplify right side
    511.46x = 192,546.79
  5. Step 5: Solve for x
    x = 192,546.79/511.46
  6. Step 6: Final answer
    x = 376.47

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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.