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Finding the Fourth Proportional to 389.43, 537.37 and 223.65

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Solution

The fourth proportional to 389.43, 537.37 and 223.65 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.43 : 537.37 = 223.65 : x
  2. Step 2: Convert to fraction form
    389.43/537.37 = 223.65/x
  3. Step 3: Cross multiply
    389.43x = 537.37 × 223.65
  4. Step 4: Simplify right side
    389.43x = 120,182.80
  5. Step 5: Solve for x
    x = 120,182.80/389.43
  6. Step 6: Final answer
    x = 308.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.