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Finding the Fourth Proportional to 448.37, 619.08 and 273.95

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Solution

The fourth proportional to 448.37, 619.08 and 273.95 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.37 : 619.08 = 273.95 : x
  2. Step 2: Convert to fraction form
    448.37/619.08 = 273.95/x
  3. Step 3: Cross multiply
    448.37x = 619.08 × 273.95
  4. Step 4: Simplify right side
    448.37x = 169,596.97
  5. Step 5: Solve for x
    x = 169,596.97/448.37
  6. Step 6: Final answer
    x = 378.25

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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.