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Finding the Fourth Proportional to 367.09, 503.56 and 347.23

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Solution

The fourth proportional to 367.09, 503.56 and 347.23 is: 476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.09 : 503.56 = 347.23 : x
  2. Step 2: Convert to fraction form
    367.09/503.56 = 347.23/x
  3. Step 3: Cross multiply
    367.09x = 503.56 × 347.23
  4. Step 4: Simplify right side
    367.09x = 174,850.17
  5. Step 5: Solve for x
    x = 174,850.17/367.09
  6. Step 6: Final answer
    x = 476.32

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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.