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Finding the Fourth Proportional to 768.41, 1,151.91 and 306.08

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Solution

The fourth proportional to 768.41, 1,151.91 and 306.08 is: 458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.41 : 1,151.91 = 306.08 : x
  2. Step 2: Convert to fraction form
    768.41/1,151.91 = 306.08/x
  3. Step 3: Cross multiply
    768.41x = 1,151.91 × 306.08
  4. Step 4: Simplify right side
    768.41x = 352,576.61
  5. Step 5: Solve for x
    x = 352,576.61/768.41
  6. Step 6: Final answer
    x = 458.84

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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.