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Finding the Fourth Proportional to 491.67, 737.91 and 199.44

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Solution

The fourth proportional to 491.67, 737.91 and 199.44 is: 299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 737.91 = 199.44 : x
  2. Step 2: Convert to fraction form
    491.67/737.91 = 199.44/x
  3. Step 3: Cross multiply
    491.67x = 737.91 × 199.44
  4. Step 4: Simplify right side
    491.67x = 147,168.77
  5. Step 5: Solve for x
    x = 147,168.77/491.67
  6. Step 6: Final answer
    x = 299.32

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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.