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Finding the Fourth Proportional to 383.18, 573.96 and 220.46

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Solution

The fourth proportional to 383.18, 573.96 and 220.46 is: 330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.18 : 573.96 = 220.46 : x
  2. Step 2: Convert to fraction form
    383.18/573.96 = 220.46/x
  3. Step 3: Cross multiply
    383.18x = 573.96 × 220.46
  4. Step 4: Simplify right side
    383.18x = 126,535.22
  5. Step 5: Solve for x
    x = 126,535.22/383.18
  6. Step 6: Final answer
    x = 330.22

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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.