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Finding the Fourth Proportional to 379.82, 524.19 and 222.49

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Solution

The fourth proportional to 379.82, 524.19 and 222.49 is: 307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.82 : 524.19 = 222.49 : x
  2. Step 2: Convert to fraction form
    379.82/524.19 = 222.49/x
  3. Step 3: Cross multiply
    379.82x = 524.19 × 222.49
  4. Step 4: Simplify right side
    379.82x = 116,627.03
  5. Step 5: Solve for x
    x = 116,627.03/379.82
  6. Step 6: Final answer
    x = 307.06

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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.