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Finding the Fourth Proportional to 354.40, 489.26 and 267.44

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Solution

The fourth proportional to 354.40, 489.26 and 267.44 is: 369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.40 : 489.26 = 267.44 : x
  2. Step 2: Convert to fraction form
    354.40/489.26 = 267.44/x
  3. Step 3: Cross multiply
    354.40x = 489.26 × 267.44
  4. Step 4: Simplify right side
    354.40x = 130,847.69
  5. Step 5: Solve for x
    x = 130,847.69/354.40
  6. Step 6: Final answer
    x = 369.21

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