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Finding the Fourth Proportional to 289.50, 436.34 and 249.41

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Solution

The fourth proportional to 289.50, 436.34 and 249.41 is: 375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 436.34 = 249.41 : x
  2. Step 2: Convert to fraction form
    289.50/436.34 = 249.41/x
  3. Step 3: Cross multiply
    289.50x = 436.34 × 249.41
  4. Step 4: Simplify right side
    289.50x = 108,827.56
  5. Step 5: Solve for x
    x = 108,827.56/289.50
  6. Step 6: Final answer
    x = 375.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.