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Finding the Fourth Proportional to 445.70, 668.55 and 214.55

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Solution

The fourth proportional to 445.70, 668.55 and 214.55 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.70 : 668.55 = 214.55 : x
  2. Step 2: Convert to fraction form
    445.70/668.55 = 214.55/x
  3. Step 3: Cross multiply
    445.70x = 668.55 × 214.55
  4. Step 4: Simplify right side
    445.70x = 143,434.06
  5. Step 5: Solve for x
    x = 143,434.06/445.70
  6. Step 6: Final answer
    x = 321.82

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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.