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Finding the Fourth Proportional to 461.13, 636.22 and 274.52

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Solution

The fourth proportional to 461.13, 636.22 and 274.52 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.13 : 636.22 = 274.52 : x
  2. Step 2: Convert to fraction form
    461.13/636.22 = 274.52/x
  3. Step 3: Cross multiply
    461.13x = 636.22 × 274.52
  4. Step 4: Simplify right side
    461.13x = 174,655.11
  5. Step 5: Solve for x
    x = 174,655.11/461.13
  6. Step 6: Final answer
    x = 378.75

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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.