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Finding the Fourth Proportional to 436.37, 654.01 and 219.83

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Solution

The fourth proportional to 436.37, 654.01 and 219.83 is: 329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.37 : 654.01 = 219.83 : x
  2. Step 2: Convert to fraction form
    436.37/654.01 = 219.83/x
  3. Step 3: Cross multiply
    436.37x = 654.01 × 219.83
  4. Step 4: Simplify right side
    436.37x = 143,767.20
  5. Step 5: Solve for x
    x = 143,767.20/436.37
  6. Step 6: Final answer
    x = 329.47

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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.