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Finding the Fourth Proportional to 296.71, 408.85 and 267.14

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Solution

The fourth proportional to 296.71, 408.85 and 267.14 is: 368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.71 : 408.85 = 267.14 : x
  2. Step 2: Convert to fraction form
    296.71/408.85 = 267.14/x
  3. Step 3: Cross multiply
    296.71x = 408.85 × 267.14
  4. Step 4: Simplify right side
    296.71x = 109,220.54
  5. Step 5: Solve for x
    x = 109,220.54/296.71
  6. Step 6: Final answer
    x = 368.11

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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.