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Finding the Fourth Proportional to 286.99, 395.10 and 256.82

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Solution

The fourth proportional to 286.99, 395.10 and 256.82 is: 353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 395.10 = 256.82 : x
  2. Step 2: Convert to fraction form
    286.99/395.10 = 256.82/x
  3. Step 3: Cross multiply
    286.99x = 395.10 × 256.82
  4. Step 4: Simplify right side
    286.99x = 101,470.55
  5. Step 5: Solve for x
    x = 101,470.55/286.99
  6. Step 6: Final answer
    x = 353.56

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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.