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Finding the Fourth Proportional to 603.11, 832.01 and 367.03

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Solution

The fourth proportional to 603.11, 832.01 and 367.03 is: 506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.11 : 832.01 = 367.03 : x
  2. Step 2: Convert to fraction form
    603.11/832.01 = 367.03/x
  3. Step 3: Cross multiply
    603.11x = 832.01 × 367.03
  4. Step 4: Simplify right side
    603.11x = 305,371.84
  5. Step 5: Solve for x
    x = 305,371.84/603.11
  6. Step 6: Final answer
    x = 506.33

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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.