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Finding the Fourth Proportional to 288.36, 395.82 and 254.88

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Solution

The fourth proportional to 288.36, 395.82 and 254.88 is: 349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.36 : 395.82 = 254.88 : x
  2. Step 2: Convert to fraction form
    288.36/395.82 = 254.88/x
  3. Step 3: Cross multiply
    288.36x = 395.82 × 254.88
  4. Step 4: Simplify right side
    288.36x = 100,886.60
  5. Step 5: Solve for x
    x = 100,886.60/288.36
  6. Step 6: Final answer
    x = 349.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.