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Finding the Fourth Proportional to 603.36, 832.66 and 367.27

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Solution

The fourth proportional to 603.36, 832.66 and 367.27 is: 506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 832.66 = 367.27 : x
  2. Step 2: Convert to fraction form
    603.36/832.66 = 367.27/x
  3. Step 3: Cross multiply
    603.36x = 832.66 × 367.27
  4. Step 4: Simplify right side
    603.36x = 305,806.87
  5. Step 5: Solve for x
    x = 305,806.87/603.36
  6. Step 6: Final answer
    x = 506.84

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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.