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Finding the Fourth Proportional to 361.22, 495.41 and 346.33

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Solution

The fourth proportional to 361.22, 495.41 and 346.33 is: 474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.22 : 495.41 = 346.33 : x
  2. Step 2: Convert to fraction form
    361.22/495.41 = 346.33/x
  3. Step 3: Cross multiply
    361.22x = 495.41 × 346.33
  4. Step 4: Simplify right side
    361.22x = 171,572.38
  5. Step 5: Solve for x
    x = 171,572.38/361.22
  6. Step 6: Final answer
    x = 474.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.