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Finding the Fourth Proportional to 409.45, 614.44 and 193.09

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Solution

The fourth proportional to 409.45, 614.44 and 193.09 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.45 : 614.44 = 193.09 : x
  2. Step 2: Convert to fraction form
    409.45/614.44 = 193.09/x
  3. Step 3: Cross multiply
    409.45x = 614.44 × 193.09
  4. Step 4: Simplify right side
    409.45x = 118,639.15
  5. Step 5: Solve for x
    x = 118,639.15/409.45
  6. Step 6: Final answer
    x = 289.76

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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.