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Finding the Fourth Proportional to 361.99, 495.27 and 360.46

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Solution

The fourth proportional to 361.99, 495.27 and 360.46 is: 493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.99 : 495.27 = 360.46 : x
  2. Step 2: Convert to fraction form
    361.99/495.27 = 360.46/x
  3. Step 3: Cross multiply
    361.99x = 495.27 × 360.46
  4. Step 4: Simplify right side
    361.99x = 178,525.02
  5. Step 5: Solve for x
    x = 178,525.02/361.99
  6. Step 6: Final answer
    x = 493.18

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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.