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Finding the Fourth Proportional to 460.30, 635.19 and 273.87

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Solution

The fourth proportional to 460.30, 635.19 and 273.87 is: 377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.30 : 635.19 = 273.87 : x
  2. Step 2: Convert to fraction form
    460.30/635.19 = 273.87/x
  3. Step 3: Cross multiply
    460.30x = 635.19 × 273.87
  4. Step 4: Simplify right side
    460.30x = 173,959.49
  5. Step 5: Solve for x
    x = 173,959.49/460.30
  6. Step 6: Final answer
    x = 377.93

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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.