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Finding the Fourth Proportional to 350.44, 483.64 and 219.42

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Solution

The fourth proportional to 350.44, 483.64 and 219.42 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.44 : 483.64 = 219.42 : x
  2. Step 2: Convert to fraction form
    350.44/483.64 = 219.42/x
  3. Step 3: Cross multiply
    350.44x = 483.64 × 219.42
  4. Step 4: Simplify right side
    350.44x = 106,119.74
  5. Step 5: Solve for x
    x = 106,119.74/350.44
  6. Step 6: Final answer
    x = 302.82

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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.