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Finding the Fourth Proportional to 461.07, 636.18 and 274.50

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Solution

The fourth proportional to 461.07, 636.18 and 274.50 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 636.18 = 274.50 : x
  2. Step 2: Convert to fraction form
    461.07/636.18 = 274.50/x
  3. Step 3: Cross multiply
    461.07x = 636.18 × 274.50
  4. Step 4: Simplify right side
    461.07x = 174,631.41
  5. Step 5: Solve for x
    x = 174,631.41/461.07
  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.