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Finding the Fourth Proportional to 441.75, 609.75 and 267.06

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Solution

The fourth proportional to 441.75, 609.75 and 267.06 is: 368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 609.75 = 267.06 : x
  2. Step 2: Convert to fraction form
    441.75/609.75 = 267.06/x
  3. Step 3: Cross multiply
    441.75x = 609.75 × 267.06
  4. Step 4: Simplify right side
    441.75x = 162,839.84
  5. Step 5: Solve for x
    x = 162,839.84/441.75
  6. Step 6: Final answer
    x = 368.62

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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.