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Finding the Fourth Proportional to 442.65, 663.87 and 211.65

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Solution

The fourth proportional to 442.65, 663.87 and 211.65 is: 317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 663.87 = 211.65 : x
  2. Step 2: Convert to fraction form
    442.65/663.87 = 211.65/x
  3. Step 3: Cross multiply
    442.65x = 663.87 × 211.65
  4. Step 4: Simplify right side
    442.65x = 140,508.09
  5. Step 5: Solve for x
    x = 140,508.09/442.65
  6. Step 6: Final answer
    x = 317.42

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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.