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Finding the Fourth Proportional to 613.45, 846.94 and 455.90

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Solution

The fourth proportional to 613.45, 846.94 and 455.90 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.45 : 846.94 = 455.90 : x
  2. Step 2: Convert to fraction form
    613.45/846.94 = 455.90/x
  3. Step 3: Cross multiply
    613.45x = 846.94 × 455.90
  4. Step 4: Simplify right side
    613.45x = 386,122.57
  5. Step 5: Solve for x
    x = 386,122.57/613.45
  6. Step 6: Final answer
    x = 629.43

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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.