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Finding the Fourth Proportional to 441.36, 609.20 and 266.71

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Solution

The fourth proportional to 441.36, 609.20 and 266.71 is: 368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.36 : 609.20 = 266.71 : x
  2. Step 2: Convert to fraction form
    441.36/609.20 = 266.71/x
  3. Step 3: Cross multiply
    441.36x = 609.20 × 266.71
  4. Step 4: Simplify right side
    441.36x = 162,479.73
  5. Step 5: Solve for x
    x = 162,479.73/441.36
  6. Step 6: Final answer
    x = 368.13

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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.