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Finding the Fourth Proportional to 334.94, 461.61 and 261.14

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Solution

The fourth proportional to 334.94, 461.61 and 261.14 is: 359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.94 : 461.61 = 261.14 : x
  2. Step 2: Convert to fraction form
    334.94/461.61 = 261.14/x
  3. Step 3: Cross multiply
    334.94x = 461.61 × 261.14
  4. Step 4: Simplify right side
    334.94x = 120,542.53
  5. Step 5: Solve for x
    x = 120,542.53/334.94
  6. Step 6: Final answer
    x = 359.90

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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.