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Finding the Fourth Proportional to 333.64, 499.77 and 196.27

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Solution

The fourth proportional to 333.64, 499.77 and 196.27 is: 294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.64 : 499.77 = 196.27 : x
  2. Step 2: Convert to fraction form
    333.64/499.77 = 196.27/x
  3. Step 3: Cross multiply
    333.64x = 499.77 × 196.27
  4. Step 4: Simplify right side
    333.64x = 98,091.42
  5. Step 5: Solve for x
    x = 98,091.42/333.64
  6. Step 6: Final answer
    x = 294.01

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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.