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Finding the Fourth Proportional to 296.34, 443.97 and 267.18

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Solution

The fourth proportional to 296.34, 443.97 and 267.18 is: 400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 443.97 = 267.18 : x
  2. Step 2: Convert to fraction form
    296.34/443.97 = 267.18/x
  3. Step 3: Cross multiply
    296.34x = 443.97 × 267.18
  4. Step 4: Simplify right side
    296.34x = 118,619.90
  5. Step 5: Solve for x
    x = 118,619.90/296.34
  6. Step 6: Final answer
    x = 400.28

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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.