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Finding the Fourth Proportional to 491.80, 737.19 and 218.09

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Solution

The fourth proportional to 491.80, 737.19 and 218.09 is: 326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.80 : 737.19 = 218.09 : x
  2. Step 2: Convert to fraction form
    491.80/737.19 = 218.09/x
  3. Step 3: Cross multiply
    491.80x = 737.19 × 218.09
  4. Step 4: Simplify right side
    491.80x = 160,770.08
  5. Step 5: Solve for x
    x = 160,770.08/491.80
  6. Step 6: Final answer
    x = 326.90

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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.