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Finding the Fourth Proportional to 380.76, 525.41 and 223.37

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Solution

The fourth proportional to 380.76, 525.41 and 223.37 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.76 : 525.41 = 223.37 : x
  2. Step 2: Convert to fraction form
    380.76/525.41 = 223.37/x
  3. Step 3: Cross multiply
    380.76x = 525.41 × 223.37
  4. Step 4: Simplify right side
    380.76x = 117,357.09
  5. Step 5: Solve for x
    x = 117,357.09/380.76
  6. Step 6: Final answer
    x = 308.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.