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Finding the Fourth Proportional to 350.38, 483.74 and 219.56

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Solution

The fourth proportional to 350.38, 483.74 and 219.56 is: 303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.38 : 483.74 = 219.56 : x
  2. Step 2: Convert to fraction form
    350.38/483.74 = 219.56/x
  3. Step 3: Cross multiply
    350.38x = 483.74 × 219.56
  4. Step 4: Simplify right side
    350.38x = 106,209.95
  5. Step 5: Solve for x
    x = 106,209.95/350.38
  6. Step 6: Final answer
    x = 303.13

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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.