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Finding the Fourth Proportional to 322.38, 443.88 and 299.70

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Solution

The fourth proportional to 322.38, 443.88 and 299.70 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 443.88 = 299.70 : x
  2. Step 2: Convert to fraction form
    322.38/443.88 = 299.70/x
  3. Step 3: Cross multiply
    322.38x = 443.88 × 299.70
  4. Step 4: Simplify right side
    322.38x = 133,030.84
  5. Step 5: Solve for x
    x = 133,030.84/322.38
  6. Step 6: Final answer
    x = 412.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.