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Finding the Fourth Proportional to 389.63, 537.70 and 223.84

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Solution

The fourth proportional to 389.63, 537.70 and 223.84 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.63 : 537.70 = 223.84 : x
  2. Step 2: Convert to fraction form
    389.63/537.70 = 223.84/x
  3. Step 3: Cross multiply
    389.63x = 537.70 × 223.84
  4. Step 4: Simplify right side
    389.63x = 120,359.93
  5. Step 5: Solve for x
    x = 120,359.93/389.63
  6. Step 6: Final answer
    x = 308.91

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Why These Related Problems?

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