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Finding the Fourth Proportional to 378.44, 522.50 and 223.24

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Solution

The fourth proportional to 378.44, 522.50 and 223.24 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 522.50 = 223.24 : x
  2. Step 2: Convert to fraction form
    378.44/522.50 = 223.24/x
  3. Step 3: Cross multiply
    378.44x = 522.50 × 223.24
  4. Step 4: Simplify right side
    378.44x = 116,642.90
  5. Step 5: Solve for x
    x = 116,642.90/378.44
  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.