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Finding the Fourth Proportional to 321.18, 479.81 and 204.69

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Solution

The fourth proportional to 321.18, 479.81 and 204.69 is: 305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.18 : 479.81 = 204.69 : x
  2. Step 2: Convert to fraction form
    321.18/479.81 = 204.69/x
  3. Step 3: Cross multiply
    321.18x = 479.81 × 204.69
  4. Step 4: Simplify right side
    321.18x = 98,214.62
  5. Step 5: Solve for x
    x = 98,214.62/321.18
  6. Step 6: Final answer
    x = 305.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.