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Finding the Fourth Proportional to 308.05, 459.47 and 267.15

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Solution

The fourth proportional to 308.05, 459.47 and 267.15 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.05 : 459.47 = 267.15 : x
  2. Step 2: Convert to fraction form
    308.05/459.47 = 267.15/x
  3. Step 3: Cross multiply
    308.05x = 459.47 × 267.15
  4. Step 4: Simplify right side
    308.05x = 122,747.22
  5. Step 5: Solve for x
    x = 122,747.22/308.05
  6. Step 6: Final answer
    x = 398.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.