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Finding the Fourth Proportional to 442.96, 664.90 and 212.04

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Solution

The fourth proportional to 442.96, 664.90 and 212.04 is: 318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.96 : 664.90 = 212.04 : x
  2. Step 2: Convert to fraction form
    442.96/664.90 = 212.04/x
  3. Step 3: Cross multiply
    442.96x = 664.90 × 212.04
  4. Step 4: Simplify right side
    442.96x = 140,985.40
  5. Step 5: Solve for x
    x = 140,985.40/442.96
  6. Step 6: Final answer
    x = 318.28

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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.