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Finding the Fourth Proportional to 286.41, 430.08 and 271.80

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Solution

The fourth proportional to 286.41, 430.08 and 271.80 is: 408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.41 : 430.08 = 271.80 : x
  2. Step 2: Convert to fraction form
    286.41/430.08 = 271.80/x
  3. Step 3: Cross multiply
    286.41x = 430.08 × 271.80
  4. Step 4: Simplify right side
    286.41x = 116,893.90
  5. Step 5: Solve for x
    x = 116,893.90/286.41
  6. Step 6: Final answer
    x = 408.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.