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Finding the Fourth Proportional to 321.80, 447.16 and 318.45

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Solution

The fourth proportional to 321.80, 447.16 and 318.45 is: 442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.80 : 447.16 = 318.45 : x
  2. Step 2: Convert to fraction form
    321.80/447.16 = 318.45/x
  3. Step 3: Cross multiply
    321.80x = 447.16 × 318.45
  4. Step 4: Simplify right side
    321.80x = 142,397.31
  5. Step 5: Solve for x
    x = 142,397.31/321.80
  6. Step 6: Final answer
    x = 442.51

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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.