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Finding the Fourth Proportional to 297.94, 410.82 and 251.24

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Solution

The fourth proportional to 297.94, 410.82 and 251.24 is: 346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 410.82 = 251.24 : x
  2. Step 2: Convert to fraction form
    297.94/410.82 = 251.24/x
  3. Step 3: Cross multiply
    297.94x = 410.82 × 251.24
  4. Step 4: Simplify right side
    297.94x = 103,214.42
  5. Step 5: Solve for x
    x = 103,214.42/297.94
  6. Step 6: Final answer
    x = 346.43

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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.