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Finding the Fourth Proportional to 378.50, 522.42 and 262.22

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Solution

The fourth proportional to 378.50, 522.42 and 262.22 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.42 = 262.22 : x
  2. Step 2: Convert to fraction form
    378.50/522.42 = 262.22/x
  3. Step 3: Cross multiply
    378.50x = 522.42 × 262.22
  4. Step 4: Simplify right side
    378.50x = 136,988.97
  5. Step 5: Solve for x
    x = 136,988.97/378.50
  6. Step 6: Final answer
    x = 361.93

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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.