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Finding the Fourth Proportional to 322.38, 482.87 and 200.39

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Solution

The fourth proportional to 322.38, 482.87 and 200.39 is: 300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 482.87 = 200.39 : x
  2. Step 2: Convert to fraction form
    322.38/482.87 = 200.39/x
  3. Step 3: Cross multiply
    322.38x = 482.87 × 200.39
  4. Step 4: Simplify right side
    322.38x = 96,760.11
  5. Step 5: Solve for x
    x = 96,760.11/322.38
  6. Step 6: Final answer
    x = 300.14

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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.