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Finding the Fourth Proportional to 286.10, 394.44 and 239.30

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Solution

The fourth proportional to 286.10, 394.44 and 239.30 is: 329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.10 : 394.44 = 239.30 : x
  2. Step 2: Convert to fraction form
    286.10/394.44 = 239.30/x
  3. Step 3: Cross multiply
    286.10x = 394.44 × 239.30
  4. Step 4: Simplify right side
    286.10x = 94,389.49
  5. Step 5: Solve for x
    x = 94,389.49/286.10
  6. Step 6: Final answer
    x = 329.92

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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.