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Finding the Fourth Proportional to 445.98, 668.91 and 211.66

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Solution

The fourth proportional to 445.98, 668.91 and 211.66 is: 317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.98 : 668.91 = 211.66 : x
  2. Step 2: Convert to fraction form
    445.98/668.91 = 211.66/x
  3. Step 3: Cross multiply
    445.98x = 668.91 × 211.66
  4. Step 4: Simplify right side
    445.98x = 141,581.49
  5. Step 5: Solve for x
    x = 141,581.49/445.98
  6. Step 6: Final answer
    x = 317.46

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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.