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Finding the Fourth Proportional to 511.93, 768.93 and 306.91

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Solution

The fourth proportional to 511.93, 768.93 and 306.91 is: 460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.93 : 768.93 = 306.91 : x
  2. Step 2: Convert to fraction form
    511.93/768.93 = 306.91/x
  3. Step 3: Cross multiply
    511.93x = 768.93 × 306.91
  4. Step 4: Simplify right side
    511.93x = 235,992.31
  5. Step 5: Solve for x
    x = 235,992.31/511.93
  6. Step 6: Final answer
    x = 460.99

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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.