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Finding the Fourth Proportional to 285.97, 394.36 and 207.80

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Solution

The fourth proportional to 285.97, 394.36 and 207.80 is: 286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.97 : 394.36 = 207.80 : x
  2. Step 2: Convert to fraction form
    285.97/394.36 = 207.80/x
  3. Step 3: Cross multiply
    285.97x = 394.36 × 207.80
  4. Step 4: Simplify right side
    285.97x = 81,948.01
  5. Step 5: Solve for x
    x = 81,948.01/285.97
  6. Step 6: Final answer
    x = 286.56

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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.