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Finding the Fourth Proportional to 286.92, 428.67 and 277.36

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Solution

The fourth proportional to 286.92, 428.67 and 277.36 is: 414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 428.67 = 277.36 : x
  2. Step 2: Convert to fraction form
    286.92/428.67 = 277.36/x
  3. Step 3: Cross multiply
    286.92x = 428.67 × 277.36
  4. Step 4: Simplify right side
    286.92x = 118,895.91
  5. Step 5: Solve for x
    x = 118,895.91/286.92
  6. Step 6: Final answer
    x = 414.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.