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Finding the Fourth Proportional to 296.14, 444.31 and 267.38

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Solution

The fourth proportional to 296.14, 444.31 and 267.38 is: 401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 444.31 = 267.38 : x
  2. Step 2: Convert to fraction form
    296.14/444.31 = 267.38/x
  3. Step 3: Cross multiply
    296.14x = 444.31 × 267.38
  4. Step 4: Simplify right side
    296.14x = 118,800.05
  5. Step 5: Solve for x
    x = 118,800.05/296.14
  6. Step 6: Final answer
    x = 401.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.