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Finding the Fourth Proportional to 286.35, 427.33 and 255.59

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Solution

The fourth proportional to 286.35, 427.33 and 255.59 is: 381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.35 : 427.33 = 255.59 : x
  2. Step 2: Convert to fraction form
    286.35/427.33 = 255.59/x
  3. Step 3: Cross multiply
    286.35x = 427.33 × 255.59
  4. Step 4: Simplify right side
    286.35x = 109,223.46
  5. Step 5: Solve for x
    x = 109,223.46/286.35
  6. Step 6: Final answer
    x = 381.43

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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.