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Finding the Fourth Proportional to 474.25, 654.31 and 287.80

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Solution

The fourth proportional to 474.25, 654.31 and 287.80 is: 397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.25 : 654.31 = 287.80 : x
  2. Step 2: Convert to fraction form
    474.25/654.31 = 287.80/x
  3. Step 3: Cross multiply
    474.25x = 654.31 × 287.80
  4. Step 4: Simplify right side
    474.25x = 188,310.42
  5. Step 5: Solve for x
    x = 188,310.42/474.25
  6. Step 6: Final answer
    x = 397.07

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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.