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Finding the Fourth Proportional to 460.14, 635.05 and 273.68

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Solution

The fourth proportional to 460.14, 635.05 and 273.68 is: 377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.14 : 635.05 = 273.68 : x
  2. Step 2: Convert to fraction form
    460.14/635.05 = 273.68/x
  3. Step 3: Cross multiply
    460.14x = 635.05 × 273.68
  4. Step 4: Simplify right side
    460.14x = 173,800.48
  5. Step 5: Solve for x
    x = 173,800.48/460.14
  6. Step 6: Final answer
    x = 377.71

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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.