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Finding the Fourth Proportional to 415.23, 622.16 and 293.25

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Solution

The fourth proportional to 415.23, 622.16 and 293.25 is: 439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.23 : 622.16 = 293.25 : x
  2. Step 2: Convert to fraction form
    415.23/622.16 = 293.25/x
  3. Step 3: Cross multiply
    415.23x = 622.16 × 293.25
  4. Step 4: Simplify right side
    415.23x = 182,446.95
  5. Step 5: Solve for x
    x = 182,446.95/415.23
  6. Step 6: Final answer
    x = 439.39

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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.