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Finding the Fourth Proportional to 409.69, 614.69 and 193.22

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Solution

The fourth proportional to 409.69, 614.69 and 193.22 is: 289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 614.69 = 193.22 : x
  2. Step 2: Convert to fraction form
    409.69/614.69 = 193.22/x
  3. Step 3: Cross multiply
    409.69x = 614.69 × 193.22
  4. Step 4: Simplify right side
    409.69x = 118,769.39
  5. Step 5: Solve for x
    x = 118,769.39/409.69
  6. Step 6: Final answer
    x = 289.90

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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.