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Finding the Fourth Proportional to 789.21, 1,184.33 and 302.27

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Solution

The fourth proportional to 789.21, 1,184.33 and 302.27 is: 453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.21 : 1,184.33 = 302.27 : x
  2. Step 2: Convert to fraction form
    789.21/1,184.33 = 302.27/x
  3. Step 3: Cross multiply
    789.21x = 1,184.33 × 302.27
  4. Step 4: Simplify right side
    789.21x = 357,982.26
  5. Step 5: Solve for x
    x = 357,982.26/789.21
  6. Step 6: Final answer
    x = 453.60

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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.