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Finding the Fourth Proportional to 368.37, 504.97 and 361.74

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Solution

The fourth proportional to 368.37, 504.97 and 361.74 is: 495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.37 : 504.97 = 361.74 : x
  2. Step 2: Convert to fraction form
    368.37/504.97 = 361.74/x
  3. Step 3: Cross multiply
    368.37x = 504.97 × 361.74
  4. Step 4: Simplify right side
    368.37x = 182,668.49
  5. Step 5: Solve for x
    x = 182,668.49/368.37
  6. Step 6: Final answer
    x = 495.88

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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.