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Finding the Fourth Proportional to 436.38, 602.25 and 249.89

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Solution

The fourth proportional to 436.38, 602.25 and 249.89 is: 344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.38 : 602.25 = 249.89 : x
  2. Step 2: Convert to fraction form
    436.38/602.25 = 249.89/x
  3. Step 3: Cross multiply
    436.38x = 602.25 × 249.89
  4. Step 4: Simplify right side
    436.38x = 150,493.24
  5. Step 5: Solve for x
    x = 150,493.24/436.38
  6. Step 6: Final answer
    x = 344.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.