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Finding the Fourth Proportional to 322.05, 482.82 and 219.37

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Solution

The fourth proportional to 322.05, 482.82 and 219.37 is: 328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.05 : 482.82 = 219.37 : x
  2. Step 2: Convert to fraction form
    322.05/482.82 = 219.37/x
  3. Step 3: Cross multiply
    322.05x = 482.82 × 219.37
  4. Step 4: Simplify right side
    322.05x = 105,916.22
  5. Step 5: Solve for x
    x = 105,916.22/322.05
  6. Step 6: Final answer
    x = 328.88

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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.