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Finding the Fourth Proportional to 436.38, 653.68 and 204.94

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Solution

The fourth proportional to 436.38, 653.68 and 204.94 is: 306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.38 : 653.68 = 204.94 : x
  2. Step 2: Convert to fraction form
    436.38/653.68 = 204.94/x
  3. Step 3: Cross multiply
    436.38x = 653.68 × 204.94
  4. Step 4: Simplify right side
    436.38x = 133,965.18
  5. Step 5: Solve for x
    x = 133,965.18/436.38
  6. Step 6: Final answer
    x = 306.99

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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.