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Finding the Fourth Proportional to 379.77, 524.19 and 222.43

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Solution

The fourth proportional to 379.77, 524.19 and 222.43 is: 307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.77 : 524.19 = 222.43 : x
  2. Step 2: Convert to fraction form
    379.77/524.19 = 222.43/x
  3. Step 3: Cross multiply
    379.77x = 524.19 × 222.43
  4. Step 4: Simplify right side
    379.77x = 116,597.45
  5. Step 5: Solve for x
    x = 116,597.45/379.77
  6. Step 6: Final answer
    x = 307.03

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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.