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Finding the Fourth Proportional to 334.94, 462.00 and 241.54

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Solution

The fourth proportional to 334.94, 462.00 and 241.54 is: 333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.94 : 462.00 = 241.54 : x
  2. Step 2: Convert to fraction form
    334.94/462.00 = 241.54/x
  3. Step 3: Cross multiply
    334.94x = 462.00 × 241.54
  4. Step 4: Simplify right side
    334.94x = 111,591.56
  5. Step 5: Solve for x
    x = 111,591.56/334.94
  6. Step 6: Final answer
    x = 333.17

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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.