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Finding the Fourth Proportional to 334.44, 461.44 and 201.63

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Solution

The fourth proportional to 334.44, 461.44 and 201.63 is: 278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.44 : 461.44 = 201.63 : x
  2. Step 2: Convert to fraction form
    334.44/461.44 = 201.63/x
  3. Step 3: Cross multiply
    334.44x = 461.44 × 201.63
  4. Step 4: Simplify right side
    334.44x = 93,039.64
  5. Step 5: Solve for x
    x = 93,039.64/334.44
  6. Step 6: Final answer
    x = 278.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.