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Finding the Fourth Proportional to 603.34, 832.26 and 367.09

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Solution

The fourth proportional to 603.34, 832.26 and 367.09 is: 506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.34 : 832.26 = 367.09 : x
  2. Step 2: Convert to fraction form
    603.34/832.26 = 367.09/x
  3. Step 3: Cross multiply
    603.34x = 832.26 × 367.09
  4. Step 4: Simplify right side
    603.34x = 305,514.32
  5. Step 5: Solve for x
    x = 305,514.32/603.34
  6. Step 6: Final answer
    x = 506.37

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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.