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Finding the Fourth Proportional to 286.24, 429.34 and 238.04

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Solution

The fourth proportional to 286.24, 429.34 and 238.04 is: 357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.24 : 429.34 = 238.04 : x
  2. Step 2: Convert to fraction form
    286.24/429.34 = 238.04/x
  3. Step 3: Cross multiply
    286.24x = 429.34 × 238.04
  4. Step 4: Simplify right side
    286.24x = 102,200.09
  5. Step 5: Solve for x
    x = 102,200.09/286.24
  6. Step 6: Final answer
    x = 357.04

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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.