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Finding the Fourth Proportional to 286.68, 426.87 and 270.84

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Solution

The fourth proportional to 286.68, 426.87 and 270.84 is: 403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.68 : 426.87 = 270.84 : x
  2. Step 2: Convert to fraction form
    286.68/426.87 = 270.84/x
  3. Step 3: Cross multiply
    286.68x = 426.87 × 270.84
  4. Step 4: Simplify right side
    286.68x = 115,613.47
  5. Step 5: Solve for x
    x = 115,613.47/286.68
  6. Step 6: Final answer
    x = 403.28

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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.