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Finding the Fourth Proportional to 380.52, 525.24 and 223.20

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Solution

The fourth proportional to 380.52, 525.24 and 223.20 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 525.24 = 223.20 : x
  2. Step 2: Convert to fraction form
    380.52/525.24 = 223.20/x
  3. Step 3: Cross multiply
    380.52x = 525.24 × 223.20
  4. Step 4: Simplify right side
    380.52x = 117,233.57
  5. Step 5: Solve for x
    x = 117,233.57/380.52
  6. Step 6: Final answer
    x = 308.09

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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.