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Finding the Fourth Proportional to 378.38, 522.34 and 220.98

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Solution

The fourth proportional to 378.38, 522.34 and 220.98 is: 305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 522.34 = 220.98 : x
  2. Step 2: Convert to fraction form
    378.38/522.34 = 220.98/x
  3. Step 3: Cross multiply
    378.38x = 522.34 × 220.98
  4. Step 4: Simplify right side
    378.38x = 115,426.89
  5. Step 5: Solve for x
    x = 115,426.89/378.38
  6. Step 6: Final answer
    x = 305.06

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Why These Related Problems?

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