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Finding the Fourth Proportional to 613.53, 845.46 and 438.57

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Solution

The fourth proportional to 613.53, 845.46 and 438.57 is: 604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.53 : 845.46 = 438.57 : x
  2. Step 2: Convert to fraction form
    613.53/845.46 = 438.57/x
  3. Step 3: Cross multiply
    613.53x = 845.46 × 438.57
  4. Step 4: Simplify right side
    613.53x = 370,793.39
  5. Step 5: Solve for x
    x = 370,793.39/613.53
  6. Step 6: Final answer
    x = 604.36

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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.