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Finding the Fourth Proportional to 409.23, 613.57 and 162.41

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Solution

The fourth proportional to 409.23, 613.57 and 162.41 is: 243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 613.57 = 162.41 : x
  2. Step 2: Convert to fraction form
    409.23/613.57 = 162.41/x
  3. Step 3: Cross multiply
    409.23x = 613.57 × 162.41
  4. Step 4: Simplify right side
    409.23x = 99,649.90
  5. Step 5: Solve for x
    x = 99,649.90/409.23
  6. Step 6: Final answer
    x = 243.51

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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.