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Finding the Fourth Proportional to 409.20, 613.93 and 235.84

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Solution

The fourth proportional to 409.20, 613.93 and 235.84 is: 353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.20 : 613.93 = 235.84 : x
  2. Step 2: Convert to fraction form
    409.20/613.93 = 235.84/x
  3. Step 3: Cross multiply
    409.20x = 613.93 × 235.84
  4. Step 4: Simplify right side
    409.20x = 144,786.99
  5. Step 5: Solve for x
    x = 144,786.99/409.20
  6. Step 6: Final answer
    x = 353.83

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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.