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Finding the Fourth Proportional to 411.36, 567.58 and 271.71

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Solution

The fourth proportional to 411.36, 567.58 and 271.71 is: 374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 567.58 = 271.71 : x
  2. Step 2: Convert to fraction form
    411.36/567.58 = 271.71/x
  3. Step 3: Cross multiply
    411.36x = 567.58 × 271.71
  4. Step 4: Simplify right side
    411.36x = 154,217.16
  5. Step 5: Solve for x
    x = 154,217.16/411.36
  6. Step 6: Final answer
    x = 374.90

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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.