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Finding the Fourth Proportional to 445.96, 668.01 and 214.16

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Solution

The fourth proportional to 445.96, 668.01 and 214.16 is: 320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.96 : 668.01 = 214.16 : x
  2. Step 2: Convert to fraction form
    445.96/668.01 = 214.16/x
  3. Step 3: Cross multiply
    445.96x = 668.01 × 214.16
  4. Step 4: Simplify right side
    445.96x = 143,062.24
  5. Step 5: Solve for x
    x = 143,062.24/445.96
  6. Step 6: Final answer
    x = 320.80

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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.