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Finding the Fourth Proportional to 663.63, 995.58 and 273.84

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Solution

The fourth proportional to 663.63, 995.58 and 273.84 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.63 : 995.58 = 273.84 : x
  2. Step 2: Convert to fraction form
    663.63/995.58 = 273.84/x
  3. Step 3: Cross multiply
    663.63x = 995.58 × 273.84
  4. Step 4: Simplify right side
    663.63x = 272,629.63
  5. Step 5: Solve for x
    x = 272,629.63/663.63
  6. Step 6: Final answer
    x = 410.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.