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Finding the Fourth Proportional to 321.48, 446.04 and 318.69

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Solution

The fourth proportional to 321.48, 446.04 and 318.69 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.48 : 446.04 = 318.69 : x
  2. Step 2: Convert to fraction form
    321.48/446.04 = 318.69/x
  3. Step 3: Cross multiply
    321.48x = 446.04 × 318.69
  4. Step 4: Simplify right side
    321.48x = 142,148.49
  5. Step 5: Solve for x
    x = 142,148.49/321.48
  6. Step 6: Final answer
    x = 442.17

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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.