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Finding the Fourth Proportional to 286.71, 427.41 and 282.27

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Solution

The fourth proportional to 286.71, 427.41 and 282.27 is: 420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.71 : 427.41 = 282.27 : x
  2. Step 2: Convert to fraction form
    286.71/427.41 = 282.27/x
  3. Step 3: Cross multiply
    286.71x = 427.41 × 282.27
  4. Step 4: Simplify right side
    286.71x = 120,645.02
  5. Step 5: Solve for x
    x = 120,645.02/286.71
  6. Step 6: Final answer
    x = 420.79

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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.