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Finding the Fourth Proportional to 286.00, 431.57 and 275.83

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Solution

The fourth proportional to 286.00, 431.57 and 275.83 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.00 : 431.57 = 275.83 : x
  2. Step 2: Convert to fraction form
    286.00/431.57 = 275.83/x
  3. Step 3: Cross multiply
    286.00x = 431.57 × 275.83
  4. Step 4: Simplify right side
    286.00x = 119,039.56
  5. Step 5: Solve for x
    x = 119,039.56/286.00
  6. Step 6: Final answer
    x = 416.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.