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Finding the Fourth Proportional to 461.25, 636.32 and 301.75

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Solution

The fourth proportional to 461.25, 636.32 and 301.75 is: 416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 636.32 = 301.75 : x
  2. Step 2: Convert to fraction form
    461.25/636.32 = 301.75/x
  3. Step 3: Cross multiply
    461.25x = 636.32 × 301.75
  4. Step 4: Simplify right side
    461.25x = 192,008.72
  5. Step 5: Solve for x
    x = 192,008.72/461.25
  6. Step 6: Final answer
    x = 416.28

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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.