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Finding the Fourth Proportional to 268.31, 399.26 and 267.40

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Solution

The fourth proportional to 268.31, 399.26 and 267.40 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.31 : 399.26 = 267.40 : x
  2. Step 2: Convert to fraction form
    268.31/399.26 = 267.40/x
  3. Step 3: Cross multiply
    268.31x = 399.26 × 267.40
  4. Step 4: Simplify right side
    268.31x = 106,762.12
  5. Step 5: Solve for x
    x = 106,762.12/268.31
  6. Step 6: Final answer
    x = 397.91

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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.