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Finding the Fourth Proportional to 461.69, 636.82 and 368.27

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Solution

The fourth proportional to 461.69, 636.82 and 368.27 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.69 : 636.82 = 368.27 : x
  2. Step 2: Convert to fraction form
    461.69/636.82 = 368.27/x
  3. Step 3: Cross multiply
    461.69x = 636.82 × 368.27
  4. Step 4: Simplify right side
    461.69x = 234,517.60
  5. Step 5: Solve for x
    x = 234,517.60/461.69
  6. Step 6: Final answer
    x = 507.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.