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Finding the Fourth Proportional to 411.14, 566.41 and 286.58

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Solution

The fourth proportional to 411.14, 566.41 and 286.58 is: 394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 566.41 = 286.58 : x
  2. Step 2: Convert to fraction form
    411.14/566.41 = 286.58/x
  3. Step 3: Cross multiply
    411.14x = 566.41 × 286.58
  4. Step 4: Simplify right side
    411.14x = 162,321.08
  5. Step 5: Solve for x
    x = 162,321.08/411.14
  6. Step 6: Final answer
    x = 394.80

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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.