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Finding the Fourth Proportional to 442.54, 663.40 and 211.29

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Solution

The fourth proportional to 442.54, 663.40 and 211.29 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.54 : 663.40 = 211.29 : x
  2. Step 2: Convert to fraction form
    442.54/663.40 = 211.29/x
  3. Step 3: Cross multiply
    442.54x = 663.40 × 211.29
  4. Step 4: Simplify right side
    442.54x = 140,169.79
  5. Step 5: Solve for x
    x = 140,169.79/442.54
  6. Step 6: Final answer
    x = 316.74

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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.