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Finding the Fourth Proportional to 461.75, 637.26 and 287.15

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Solution

The fourth proportional to 461.75, 637.26 and 287.15 is: 396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 637.26 = 287.15 : x
  2. Step 2: Convert to fraction form
    461.75/637.26 = 287.15/x
  3. Step 3: Cross multiply
    461.75x = 637.26 × 287.15
  4. Step 4: Simplify right side
    461.75x = 182,989.21
  5. Step 5: Solve for x
    x = 182,989.21/461.75
  6. Step 6: Final answer
    x = 396.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.