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Finding the Fourth Proportional to 411.30, 567.45 and 286.92

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Solution

The fourth proportional to 411.30, 567.45 and 286.92 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 567.45 = 286.92 : x
  2. Step 2: Convert to fraction form
    411.30/567.45 = 286.92/x
  3. Step 3: Cross multiply
    411.30x = 567.45 × 286.92
  4. Step 4: Simplify right side
    411.30x = 162,812.75
  5. Step 5: Solve for x
    x = 162,812.75/411.30
  6. Step 6: Final answer
    x = 395.85

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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.