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Finding the Fourth Proportional to 333.73, 460.26 and 241.09

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Solution

The fourth proportional to 333.73, 460.26 and 241.09 is: 332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.73 : 460.26 = 241.09 : x
  2. Step 2: Convert to fraction form
    333.73/460.26 = 241.09/x
  3. Step 3: Cross multiply
    333.73x = 460.26 × 241.09
  4. Step 4: Simplify right side
    333.73x = 110,962.93
  5. Step 5: Solve for x
    x = 110,962.93/333.73
  6. Step 6: Final answer
    x = 332.49

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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.