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Finding the Fourth Proportional to 511.59, 766.83 and 251.44

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Solution

The fourth proportional to 511.59, 766.83 and 251.44 is: 376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.59 : 766.83 = 251.44 : x
  2. Step 2: Convert to fraction form
    511.59/766.83 = 251.44/x
  3. Step 3: Cross multiply
    511.59x = 766.83 × 251.44
  4. Step 4: Simplify right side
    511.59x = 192,811.74
  5. Step 5: Solve for x
    x = 192,811.74/511.59
  6. Step 6: Final answer
    x = 376.89

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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.