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Finding the Fourth Proportional to 411.10, 566.93 and 271.17

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Solution

The fourth proportional to 411.10, 566.93 and 271.17 is: 373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.10 : 566.93 = 271.17 : x
  2. Step 2: Convert to fraction form
    411.10/566.93 = 271.17/x
  3. Step 3: Cross multiply
    411.10x = 566.93 × 271.17
  4. Step 4: Simplify right side
    411.10x = 153,735.09
  5. Step 5: Solve for x
    x = 153,735.09/411.10
  6. Step 6: Final answer
    x = 373.96

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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.