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Finding the Fourth Proportional to 354.60, 489.22 and 267.08

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Solution

The fourth proportional to 354.60, 489.22 and 267.08 is: 368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.60 : 489.22 = 267.08 : x
  2. Step 2: Convert to fraction form
    354.60/489.22 = 267.08/x
  3. Step 3: Cross multiply
    354.60x = 489.22 × 267.08
  4. Step 4: Simplify right side
    354.60x = 130,660.88
  5. Step 5: Solve for x
    x = 130,660.88/354.60
  6. Step 6: Final answer
    x = 368.47

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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.