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Finding the Fourth Proportional to 461.01, 636.28 and 274.61

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Solution

The fourth proportional to 461.01, 636.28 and 274.61 is: 379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.01 : 636.28 = 274.61 : x
  2. Step 2: Convert to fraction form
    461.01/636.28 = 274.61/x
  3. Step 3: Cross multiply
    461.01x = 636.28 × 274.61
  4. Step 4: Simplify right side
    461.01x = 174,725.67
  5. Step 5: Solve for x
    x = 174,725.67/461.01
  6. Step 6: Final answer
    x = 379.01

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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.