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Finding the Fourth Proportional to 378.95, 523.05 and 221.63

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Solution

The fourth proportional to 378.95, 523.05 and 221.63 is: 305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 523.05 = 221.63 : x
  2. Step 2: Convert to fraction form
    378.95/523.05 = 221.63/x
  3. Step 3: Cross multiply
    378.95x = 523.05 × 221.63
  4. Step 4: Simplify right side
    378.95x = 115,920.96
  5. Step 5: Solve for x
    x = 115,920.96/378.95
  6. Step 6: Final answer
    x = 305.90

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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.