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Finding the Fourth Proportional to 389.40, 584.30 and 226.99

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Solution

The fourth proportional to 389.40, 584.30 and 226.99 is: 340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.40 : 584.30 = 226.99 : x
  2. Step 2: Convert to fraction form
    389.40/584.30 = 226.99/x
  3. Step 3: Cross multiply
    389.40x = 584.30 × 226.99
  4. Step 4: Simplify right side
    389.40x = 132,630.26
  5. Step 5: Solve for x
    x = 132,630.26/389.40
  6. Step 6: Final answer
    x = 340.60

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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.