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Finding the Fourth Proportional to 292.44, 404.28 and 267.84

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Solution

The fourth proportional to 292.44, 404.28 and 267.84 is: 370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.44 : 404.28 = 267.84 : x
  2. Step 2: Convert to fraction form
    292.44/404.28 = 267.84/x
  3. Step 3: Cross multiply
    292.44x = 404.28 × 267.84
  4. Step 4: Simplify right side
    292.44x = 108,282.36
  5. Step 5: Solve for x
    x = 108,282.36/292.44
  6. Step 6: Final answer
    x = 370.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.