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Finding the Fourth Proportional to 308.06, 461.52 and 267.02

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Solution

The fourth proportional to 308.06, 461.52 and 267.02 is: 400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 461.52 = 267.02 : x
  2. Step 2: Convert to fraction form
    308.06/461.52 = 267.02/x
  3. Step 3: Cross multiply
    308.06x = 461.52 × 267.02
  4. Step 4: Simplify right side
    308.06x = 123,235.07
  5. Step 5: Solve for x
    x = 123,235.07/308.06
  6. Step 6: Final answer
    x = 400.04

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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.