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Finding the Fourth Proportional to 334.73, 462 and 272.42

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Solution

The fourth proportional to 334.73, 462 and 272.42 is: 375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.73 : 462 = 272.42 : x
  2. Step 2: Convert to fraction form
    334.73/462 = 272.42/x
  3. Step 3: Cross multiply
    334.73x = 462 × 272.42
  4. Step 4: Simplify right side
    334.73x = 125,855.73
  5. Step 5: Solve for x
    x = 125,855.73/334.73
  6. Step 6: Final answer
    x = 375.99

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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.