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Finding the Fourth Proportional to 442.63, 664.09 and 320.67

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Solution

The fourth proportional to 442.63, 664.09 and 320.67 is: 481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.63 : 664.09 = 320.67 : x
  2. Step 2: Convert to fraction form
    442.63/664.09 = 320.67/x
  3. Step 3: Cross multiply
    442.63x = 664.09 × 320.67
  4. Step 4: Simplify right side
    442.63x = 212,953.74
  5. Step 5: Solve for x
    x = 212,953.74/442.63
  6. Step 6: Final answer
    x = 481.12

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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.