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Finding the Fourth Proportional to 334, 461.04 and 230.80

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Solution

The fourth proportional to 334, 461.04 and 230.80 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 461.04 = 230.80 : x
  2. Step 2: Convert to fraction form
    334/461.04 = 230.80/x
  3. Step 3: Cross multiply
    334x = 461.04 × 230.80
  4. Step 4: Simplify right side
    334x = 106,408.03
  5. Step 5: Solve for x
    x = 106,408.03/334
  6. Step 6: Final answer
    x = 318.59

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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.