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Finding the Fourth Proportional to 409.10, 613.46 and 149.02

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Solution

The fourth proportional to 409.10, 613.46 and 149.02 is: 223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.10 : 613.46 = 149.02 : x
  2. Step 2: Convert to fraction form
    409.10/613.46 = 149.02/x
  3. Step 3: Cross multiply
    409.10x = 613.46 × 149.02
  4. Step 4: Simplify right side
    409.10x = 91,416.65
  5. Step 5: Solve for x
    x = 91,416.65/409.10
  6. Step 6: Final answer
    x = 223.46

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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.