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Finding the Fourth Proportional to 367.04, 503.86 and 329.24

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Solution

The fourth proportional to 367.04, 503.86 and 329.24 is: 451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.04 : 503.86 = 329.24 : x
  2. Step 2: Convert to fraction form
    367.04/503.86 = 329.24/x
  3. Step 3: Cross multiply
    367.04x = 503.86 × 329.24
  4. Step 4: Simplify right side
    367.04x = 165,890.87
  5. Step 5: Solve for x
    x = 165,890.87/367.04
  6. Step 6: Final answer
    x = 451.97

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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.