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Finding the Fourth Proportional to 461.48, 636.77 and 274.97

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Solution

The fourth proportional to 461.48, 636.77 and 274.97 is: 379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 636.77 = 274.97 : x
  2. Step 2: Convert to fraction form
    461.48/636.77 = 274.97/x
  3. Step 3: Cross multiply
    461.48x = 636.77 × 274.97
  4. Step 4: Simplify right side
    461.48x = 175,088.09
  5. Step 5: Solve for x
    x = 175,088.09/461.48
  6. Step 6: Final answer
    x = 379.41

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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.