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Finding the Fourth Proportional to 460.88, 636.09 and 274.46

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Solution

The fourth proportional to 460.88, 636.09 and 274.46 is: 378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.88 : 636.09 = 274.46 : x
  2. Step 2: Convert to fraction form
    460.88/636.09 = 274.46/x
  3. Step 3: Cross multiply
    460.88x = 636.09 × 274.46
  4. Step 4: Simplify right side
    460.88x = 174,582.85
  5. Step 5: Solve for x
    x = 174,582.85/460.88
  6. Step 6: Final answer
    x = 378.80

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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.