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Finding the Fourth Proportional to 443.34, 664.07 and 322.25

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Solution

The fourth proportional to 443.34, 664.07 and 322.25 is: 482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.34 : 664.07 = 322.25 : x
  2. Step 2: Convert to fraction form
    443.34/664.07 = 322.25/x
  3. Step 3: Cross multiply
    443.34x = 664.07 × 322.25
  4. Step 4: Simplify right side
    443.34x = 213,991.63
  5. Step 5: Solve for x
    x = 213,991.63/443.34
  6. Step 6: Final answer
    x = 482.68

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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.