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Finding the Fourth Proportional to 484.67, 726.77 and 241.33

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Solution

The fourth proportional to 484.67, 726.77 and 241.33 is: 361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.67 : 726.77 = 241.33 : x
  2. Step 2: Convert to fraction form
    484.67/726.77 = 241.33/x
  3. Step 3: Cross multiply
    484.67x = 726.77 × 241.33
  4. Step 4: Simplify right side
    484.67x = 175,390.20
  5. Step 5: Solve for x
    x = 175,390.20/484.67
  6. Step 6: Final answer
    x = 361.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.