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Finding the Fourth Proportional to 436.33, 653.95 and 219.97

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Solution

The fourth proportional to 436.33, 653.95 and 219.97 is: 329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.33 : 653.95 = 219.97 : x
  2. Step 2: Convert to fraction form
    436.33/653.95 = 219.97/x
  3. Step 3: Cross multiply
    436.33x = 653.95 × 219.97
  4. Step 4: Simplify right side
    436.33x = 143,849.38
  5. Step 5: Solve for x
    x = 143,849.38/436.33
  6. Step 6: Final answer
    x = 329.68

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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.