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Finding the Fourth Proportional to 460.49, 635.19 and 273.85

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Solution

The fourth proportional to 460.49, 635.19 and 273.85 is: 377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 635.19 = 273.85 : x
  2. Step 2: Convert to fraction form
    460.49/635.19 = 273.85/x
  3. Step 3: Cross multiply
    460.49x = 635.19 × 273.85
  4. Step 4: Simplify right side
    460.49x = 173,947.58
  5. Step 5: Solve for x
    x = 173,947.58/460.49
  6. Step 6: Final answer
    x = 377.75

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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.