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Finding the Fourth Proportional to 409.93, 613.34 and 227.47

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Solution

The fourth proportional to 409.93, 613.34 and 227.47 is: 340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.93 : 613.34 = 227.47 : x
  2. Step 2: Convert to fraction form
    409.93/613.34 = 227.47/x
  3. Step 3: Cross multiply
    409.93x = 613.34 × 227.47
  4. Step 4: Simplify right side
    409.93x = 139,515.31
  5. Step 5: Solve for x
    x = 139,515.31/409.93
  6. Step 6: Final answer
    x = 340.34

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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.