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Finding the Fourth Proportional to 431.96, 648.24 and 287.72

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Solution

The fourth proportional to 431.96, 648.24 and 287.72 is: 431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 648.24 = 287.72 : x
  2. Step 2: Convert to fraction form
    431.96/648.24 = 287.72/x
  3. Step 3: Cross multiply
    431.96x = 648.24 × 287.72
  4. Step 4: Simplify right side
    431.96x = 186,511.61
  5. Step 5: Solve for x
    x = 186,511.61/431.96
  6. Step 6: Final answer
    x = 431.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.