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Finding the Fourth Proportional to 675.50, 1,013.25 and 219.50

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Solution

The fourth proportional to 675.50, 1,013.25 and 219.50 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 1,013.25 = 219.50 : x
  2. Step 2: Convert to fraction form
    675.50/1,013.25 = 219.50/x
  3. Step 3: Cross multiply
    675.50x = 1,013.25 × 219.50
  4. Step 4: Simplify right side
    675.50x = 222,408.38
  5. Step 5: Solve for x
    x = 222,408.38/675.50
  6. Step 6: Final answer
    x = 329.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.