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Finding the Fourth Proportional to 445.40, 667.63 and 214.14

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Solution

The fourth proportional to 445.40, 667.63 and 214.14 is: 320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.40 : 667.63 = 214.14 : x
  2. Step 2: Convert to fraction form
    445.40/667.63 = 214.14/x
  3. Step 3: Cross multiply
    445.40x = 667.63 × 214.14
  4. Step 4: Simplify right side
    445.40x = 142,969.44
  5. Step 5: Solve for x
    x = 142,969.44/445.40
  6. Step 6: Final answer
    x = 320.99

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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.