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Finding the Fourth Proportional to 511.62, 768.47 and 306.60

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Solution

The fourth proportional to 511.62, 768.47 and 306.60 is: 460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.62 : 768.47 = 306.60 : x
  2. Step 2: Convert to fraction form
    511.62/768.47 = 306.60/x
  3. Step 3: Cross multiply
    511.62x = 768.47 × 306.60
  4. Step 4: Simplify right side
    511.62x = 235,611.37
  5. Step 5: Solve for x
    x = 235,611.37/511.62
  6. Step 6: Final answer
    x = 460.52

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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.