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Finding the Fourth Proportional to 445.37, 668.35 and 214.41

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Solution

The fourth proportional to 445.37, 668.35 and 214.41 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.37 : 668.35 = 214.41 : x
  2. Step 2: Convert to fraction form
    445.37/668.35 = 214.41/x
  3. Step 3: Cross multiply
    445.37x = 668.35 × 214.41
  4. Step 4: Simplify right side
    445.37x = 143,303.70
  5. Step 5: Solve for x
    x = 143,303.70/445.37
  6. Step 6: Final answer
    x = 321.77

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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.