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Finding the Fourth Proportional to 409.01, 613.63 and 149

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Solution

The fourth proportional to 409.01, 613.63 and 149 is: 223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 613.63 = 149 : x
  2. Step 2: Convert to fraction form
    409.01/613.63 = 149/x
  3. Step 3: Cross multiply
    409.01x = 613.63 × 149
  4. Step 4: Simplify right side
    409.01x = 91,430.87
  5. Step 5: Solve for x
    x = 91,430.87/409.01
  6. Step 6: Final answer
    x = 223.54

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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.