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Finding the Fourth Proportional to 443.70, 664.20 and 322.20

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Solution

The fourth proportional to 443.70, 664.20 and 322.20 is: 482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.70 : 664.20 = 322.20 : x
  2. Step 2: Convert to fraction form
    443.70/664.20 = 322.20/x
  3. Step 3: Cross multiply
    443.70x = 664.20 × 322.20
  4. Step 4: Simplify right side
    443.70x = 214,005.24
  5. Step 5: Solve for x
    x = 214,005.24/443.70
  6. Step 6: Final answer
    x = 482.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.