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Finding the Fourth Proportional to 648.18, 894.46 and 353.44

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Solution

The fourth proportional to 648.18, 894.46 and 353.44 is: 487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 894.46 = 353.44 : x
  2. Step 2: Convert to fraction form
    648.18/894.46 = 353.44/x
  3. Step 3: Cross multiply
    648.18x = 894.46 × 353.44
  4. Step 4: Simplify right side
    648.18x = 316,137.94
  5. Step 5: Solve for x
    x = 316,137.94/648.18
  6. Step 6: Final answer
    x = 487.73

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