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Finding the Fourth Proportional to 415.20, 622.14 and 323.46

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Solution

The fourth proportional to 415.20, 622.14 and 323.46 is: 484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 622.14 = 323.46 : x
  2. Step 2: Convert to fraction form
    415.20/622.14 = 323.46/x
  3. Step 3: Cross multiply
    415.20x = 622.14 × 323.46
  4. Step 4: Simplify right side
    415.20x = 201,237.40
  5. Step 5: Solve for x
    x = 201,237.40/415.20
  6. Step 6: Final answer
    x = 484.68

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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.