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Finding the Fourth Proportional to 642.24, 884.90 and 494.60

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Solution

The fourth proportional to 642.24, 884.90 and 494.60 is: 681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 884.90 = 494.60 : x
  2. Step 2: Convert to fraction form
    642.24/884.90 = 494.60/x
  3. Step 3: Cross multiply
    642.24x = 884.90 × 494.60
  4. Step 4: Simplify right side
    642.24x = 437,671.54
  5. Step 5: Solve for x
    x = 437,671.54/642.24
  6. Step 6: Final answer
    x = 681.48

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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.