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Finding the Fourth Proportional to 459.44, 634.19 and 335.73

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Solution

The fourth proportional to 459.44, 634.19 and 335.73 is: 463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.44 : 634.19 = 335.73 : x
  2. Step 2: Convert to fraction form
    459.44/634.19 = 335.73/x
  3. Step 3: Cross multiply
    459.44x = 634.19 × 335.73
  4. Step 4: Simplify right side
    459.44x = 212,917.31
  5. Step 5: Solve for x
    x = 212,917.31/459.44
  6. Step 6: Final answer
    x = 463.43

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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.