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Finding the Fourth Proportional to 436.36, 654.22 and 227.84

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Solution

The fourth proportional to 436.36, 654.22 and 227.84 is: 341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.36 : 654.22 = 227.84 : x
  2. Step 2: Convert to fraction form
    436.36/654.22 = 227.84/x
  3. Step 3: Cross multiply
    436.36x = 654.22 × 227.84
  4. Step 4: Simplify right side
    436.36x = 149,056.10
  5. Step 5: Solve for x
    x = 149,056.10/436.36
  6. Step 6: Final answer
    x = 341.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.