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Finding the Fourth Proportional to 461.17, 636.52 and 274.76

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Solution

The fourth proportional to 461.17, 636.52 and 274.76 is: 379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.17 : 636.52 = 274.76 : x
  2. Step 2: Convert to fraction form
    461.17/636.52 = 274.76/x
  3. Step 3: Cross multiply
    461.17x = 636.52 × 274.76
  4. Step 4: Simplify right side
    461.17x = 174,890.24
  5. Step 5: Solve for x
    x = 174,890.24/461.17
  6. Step 6: Final answer
    x = 379.23

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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.