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Finding the Fourth Proportional to 648.41, 894.44 and 415.13

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Solution

The fourth proportional to 648.41, 894.44 and 415.13 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 894.44 = 415.13 : x
  2. Step 2: Convert to fraction form
    648.41/894.44 = 415.13/x
  3. Step 3: Cross multiply
    648.41x = 894.44 × 415.13
  4. Step 4: Simplify right side
    648.41x = 371,305.44
  5. Step 5: Solve for x
    x = 371,305.44/648.41
  6. Step 6: Final answer
    x = 572.64

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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.