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Finding the Fourth Proportional to 389.63, 537.60 and 223.79

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Solution

The fourth proportional to 389.63, 537.60 and 223.79 is: 308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.63 : 537.60 = 223.79 : x
  2. Step 2: Convert to fraction form
    389.63/537.60 = 223.79/x
  3. Step 3: Cross multiply
    389.63x = 537.60 × 223.79
  4. Step 4: Simplify right side
    389.63x = 120,309.50
  5. Step 5: Solve for x
    x = 120,309.50/389.63
  6. Step 6: Final answer
    x = 308.78

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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.