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Finding the Fourth Proportional to 441.52, 609.22 and 266.86

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Solution

The fourth proportional to 441.52, 609.22 and 266.86 is: 368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.52 : 609.22 = 266.86 : x
  2. Step 2: Convert to fraction form
    441.52/609.22 = 266.86/x
  3. Step 3: Cross multiply
    441.52x = 609.22 × 266.86
  4. Step 4: Simplify right side
    441.52x = 162,577.54
  5. Step 5: Solve for x
    x = 162,577.54/441.52
  6. Step 6: Final answer
    x = 368.22

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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.