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Finding the Fourth Proportional to 334.83, 462.31 and 230.14

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Solution

The fourth proportional to 334.83, 462.31 and 230.14 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.83 : 462.31 = 230.14 : x
  2. Step 2: Convert to fraction form
    334.83/462.31 = 230.14/x
  3. Step 3: Cross multiply
    334.83x = 462.31 × 230.14
  4. Step 4: Simplify right side
    334.83x = 106,396.03
  5. Step 5: Solve for x
    x = 106,396.03/334.83
  6. Step 6: Final answer
    x = 317.76

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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.