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Finding the Fourth Proportional to 613.45, 845.67 and 482.23

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Solution

The fourth proportional to 613.45, 845.67 and 482.23 is: 664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.45 : 845.67 = 482.23 : x
  2. Step 2: Convert to fraction form
    613.45/845.67 = 482.23/x
  3. Step 3: Cross multiply
    613.45x = 845.67 × 482.23
  4. Step 4: Simplify right side
    613.45x = 407,807.60
  5. Step 5: Solve for x
    x = 407,807.60/613.45
  6. Step 6: Final answer
    x = 664.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.