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Finding the Fourth Proportional to 286.31, 429.67 and 214.36

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Solution

The fourth proportional to 286.31, 429.67 and 214.36 is: 321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 429.67 = 214.36 : x
  2. Step 2: Convert to fraction form
    286.31/429.67 = 214.36/x
  3. Step 3: Cross multiply
    286.31x = 429.67 × 214.36
  4. Step 4: Simplify right side
    286.31x = 92,101.91
  5. Step 5: Solve for x
    x = 92,101.91/286.31
  6. Step 6: Final answer
    x = 321.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.