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Finding the Fourth Proportional to 409.24, 613.81 and 189.82

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Solution

The fourth proportional to 409.24, 613.81 and 189.82 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 613.81 = 189.82 : x
  2. Step 2: Convert to fraction form
    409.24/613.81 = 189.82/x
  3. Step 3: Cross multiply
    409.24x = 613.81 × 189.82
  4. Step 4: Simplify right side
    409.24x = 116,513.41
  5. Step 5: Solve for x
    x = 116,513.41/409.24
  6. Step 6: Final answer
    x = 284.71

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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.