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Finding the Fourth Proportional to 446.58, 613.70 and 367.75

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Solution

The fourth proportional to 446.58, 613.70 and 367.75 is: 505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.58 : 613.70 = 367.75 : x
  2. Step 2: Convert to fraction form
    446.58/613.70 = 367.75/x
  3. Step 3: Cross multiply
    446.58x = 613.70 × 367.75
  4. Step 4: Simplify right side
    446.58x = 225,688.48
  5. Step 5: Solve for x
    x = 225,688.48/446.58
  6. Step 6: Final answer
    x = 505.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.