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Finding the Fourth Proportional to 286.96, 395.80 and 278.96

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Solution

The fourth proportional to 286.96, 395.80 and 278.96 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.96 : 395.80 = 278.96 : x
  2. Step 2: Convert to fraction form
    286.96/395.80 = 278.96/x
  3. Step 3: Cross multiply
    286.96x = 395.80 × 278.96
  4. Step 4: Simplify right side
    286.96x = 110,412.37
  5. Step 5: Solve for x
    x = 110,412.37/286.96
  6. Step 6: Final answer
    x = 384.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.