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Finding the Fourth Proportional to 496.42, 743.86 and 300.90

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Solution

The fourth proportional to 496.42, 743.86 and 300.90 is: 450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.42 : 743.86 = 300.90 : x
  2. Step 2: Convert to fraction form
    496.42/743.86 = 300.90/x
  3. Step 3: Cross multiply
    496.42x = 743.86 × 300.90
  4. Step 4: Simplify right side
    496.42x = 223,827.47
  5. Step 5: Solve for x
    x = 223,827.47/496.42
  6. Step 6: Final answer
    x = 450.88

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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.