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Finding the Fourth Proportional to 303.80, 419.16 and 241.82

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Solution

The fourth proportional to 303.80, 419.16 and 241.82 is: 333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.80 : 419.16 = 241.82 : x
  2. Step 2: Convert to fraction form
    303.80/419.16 = 241.82/x
  3. Step 3: Cross multiply
    303.80x = 419.16 × 241.82
  4. Step 4: Simplify right side
    303.80x = 101,361.27
  5. Step 5: Solve for x
    x = 101,361.27/303.80
  6. Step 6: Final answer
    x = 333.64

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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.