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Finding the Fourth Proportional to 322.24, 482.64 and 213.88

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Solution

The fourth proportional to 322.24, 482.64 and 213.88 is: 320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.24 : 482.64 = 213.88 : x
  2. Step 2: Convert to fraction form
    322.24/482.64 = 213.88/x
  3. Step 3: Cross multiply
    322.24x = 482.64 × 213.88
  4. Step 4: Simplify right side
    322.24x = 103,227.04
  5. Step 5: Solve for x
    x = 103,227.04/322.24
  6. Step 6: Final answer
    x = 320.34

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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.