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Finding the Fourth Proportional to 389.75, 537.87 and 219.42

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Solution

The fourth proportional to 389.75, 537.87 and 219.42 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.75 : 537.87 = 219.42 : x
  2. Step 2: Convert to fraction form
    389.75/537.87 = 219.42/x
  3. Step 3: Cross multiply
    389.75x = 537.87 × 219.42
  4. Step 4: Simplify right side
    389.75x = 118,019.44
  5. Step 5: Solve for x
    x = 118,019.44/389.75
  6. Step 6: Final answer
    x = 302.81

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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.