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Finding the Fourth Proportional to 334.40, 461.44 and 201.76

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Solution

The fourth proportional to 334.40, 461.44 and 201.76 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 461.44 = 201.76 : x
  2. Step 2: Convert to fraction form
    334.40/461.44 = 201.76/x
  3. Step 3: Cross multiply
    334.40x = 461.44 × 201.76
  4. Step 4: Simplify right side
    334.40x = 93,100.13
  5. Step 5: Solve for x
    x = 93,100.13/334.40
  6. Step 6: Final answer
    x = 278.41

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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.