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Finding the Fourth Proportional to 312.87, 431.94 and 278.27

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Solution

The fourth proportional to 312.87, 431.94 and 278.27 is: 384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.87 : 431.94 = 278.27 : x
  2. Step 2: Convert to fraction form
    312.87/431.94 = 278.27/x
  3. Step 3: Cross multiply
    312.87x = 431.94 × 278.27
  4. Step 4: Simplify right side
    312.87x = 120,195.94
  5. Step 5: Solve for x
    x = 120,195.94/312.87
  6. Step 6: Final answer
    x = 384.17

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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.