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Finding the Fourth Proportional to 322.05, 447.51 and 318.70

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Solution

The fourth proportional to 322.05, 447.51 and 318.70 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.05 : 447.51 = 318.70 : x
  2. Step 2: Convert to fraction form
    322.05/447.51 = 318.70/x
  3. Step 3: Cross multiply
    322.05x = 447.51 × 318.70
  4. Step 4: Simplify right side
    322.05x = 142,619.84
  5. Step 5: Solve for x
    x = 142,619.84/322.05
  6. Step 6: Final answer
    x = 442.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.