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Finding the Fourth Proportional to 378.57, 522.43 and 221.20

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Solution

The fourth proportional to 378.57, 522.43 and 221.20 is: 305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.57 : 522.43 = 221.20 : x
  2. Step 2: Convert to fraction form
    378.57/522.43 = 221.20/x
  3. Step 3: Cross multiply
    378.57x = 522.43 × 221.20
  4. Step 4: Simplify right side
    378.57x = 115,561.52
  5. Step 5: Solve for x
    x = 115,561.52/378.57
  6. Step 6: Final answer
    x = 305.26

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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.