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Finding the Fourth Proportional to 493.68, 739.80 and 300.84

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Solution

The fourth proportional to 493.68, 739.80 and 300.84 is: 450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 739.80 = 300.84 : x
  2. Step 2: Convert to fraction form
    493.68/739.80 = 300.84/x
  3. Step 3: Cross multiply
    493.68x = 739.80 × 300.84
  4. Step 4: Simplify right side
    493.68x = 222,561.43
  5. Step 5: Solve for x
    x = 222,561.43/493.68
  6. Step 6: Final answer
    x = 450.82

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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.