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Finding the Fourth Proportional to 352.12, 486.01 and 241.64

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Solution

The fourth proportional to 352.12, 486.01 and 241.64 is: 333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.12 : 486.01 = 241.64 : x
  2. Step 2: Convert to fraction form
    352.12/486.01 = 241.64/x
  3. Step 3: Cross multiply
    352.12x = 486.01 × 241.64
  4. Step 4: Simplify right side
    352.12x = 117,439.46
  5. Step 5: Solve for x
    x = 117,439.46/352.12
  6. Step 6: Final answer
    x = 333.52

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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.