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Finding the Fourth Proportional to 648, 894.24 and 441

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Solution

The fourth proportional to 648, 894.24 and 441 is: 608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    648 : 894.24 = 441 : x
  2. Step 2: Convert to fraction form
    648/894.24 = 441/x
  3. Step 3: Cross multiply
    648x = 894.24 × 441
  4. Step 4: Simplify right side
    648x = 394,359.84
  5. Step 5: Solve for x
    x = 394,359.84/648
  6. Step 6: Final answer
    x = 608.58

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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.