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Finding the Fourth Proportional to 497.97, 687.02 and 290.97

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Solution

The fourth proportional to 497.97, 687.02 and 290.97 is: 401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.97 : 687.02 = 290.97 : x
  2. Step 2: Convert to fraction form
    497.97/687.02 = 290.97/x
  3. Step 3: Cross multiply
    497.97x = 687.02 × 290.97
  4. Step 4: Simplify right side
    497.97x = 199,902.21
  5. Step 5: Solve for x
    x = 199,902.21/497.97
  6. Step 6: Final answer
    x = 401.43

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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.