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Finding the Fourth Proportional to 320.39, 480.17 and 218.33

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Solution

The fourth proportional to 320.39, 480.17 and 218.33 is: 327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.39 : 480.17 = 218.33 : x
  2. Step 2: Convert to fraction form
    320.39/480.17 = 218.33/x
  3. Step 3: Cross multiply
    320.39x = 480.17 × 218.33
  4. Step 4: Simplify right side
    320.39x = 104,832.02
  5. Step 5: Solve for x
    x = 104,832.02/320.39
  6. Step 6: Final answer
    x = 327.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.