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Finding the Fourth Proportional to 443.89, 665.58 and 212.84

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Solution

The fourth proportional to 443.89, 665.58 and 212.84 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.89 : 665.58 = 212.84 : x
  2. Step 2: Convert to fraction form
    443.89/665.58 = 212.84/x
  3. Step 3: Cross multiply
    443.89x = 665.58 × 212.84
  4. Step 4: Simplify right side
    443.89x = 141,662.05
  5. Step 5: Solve for x
    x = 141,662.05/443.89
  6. Step 6: Final answer
    x = 319.14

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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.