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Finding the Fourth Proportional to 648.12, 894.60 and 415.44

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Solution

The fourth proportional to 648.12, 894.60 and 415.44 is: 573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.12 : 894.60 = 415.44 : x
  2. Step 2: Convert to fraction form
    648.12/894.60 = 415.44/x
  3. Step 3: Cross multiply
    648.12x = 894.60 × 415.44
  4. Step 4: Simplify right side
    648.12x = 371,652.62
  5. Step 5: Solve for x
    x = 371,652.62/648.12
  6. Step 6: Final answer
    x = 573.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.