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Finding the Fourth Proportional to 286.02, 431.37 and 282.96

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Solution

The fourth proportional to 286.02, 431.37 and 282.96 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 431.37 = 282.96 : x
  2. Step 2: Convert to fraction form
    286.02/431.37 = 282.96/x
  3. Step 3: Cross multiply
    286.02x = 431.37 × 282.96
  4. Step 4: Simplify right side
    286.02x = 122,060.46
  5. Step 5: Solve for x
    x = 122,060.46/286.02
  6. Step 6: Final answer
    x = 426.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.