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Finding the Fourth Proportional to 308.95, 463.42 and 255.22

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Solution

The fourth proportional to 308.95, 463.42 and 255.22 is: 382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.95 : 463.42 = 255.22 : x
  2. Step 2: Convert to fraction form
    308.95/463.42 = 255.22/x
  3. Step 3: Cross multiply
    308.95x = 463.42 × 255.22
  4. Step 4: Simplify right side
    308.95x = 118,273.21
  5. Step 5: Solve for x
    x = 118,273.21/308.95
  6. Step 6: Final answer
    x = 382.83

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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.