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Finding the Fourth Proportional to 461.69, 636.52 and 382.71

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Solution

The fourth proportional to 461.69, 636.52 and 382.71 is: 527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.69 : 636.52 = 382.71 : x
  2. Step 2: Convert to fraction form
    461.69/636.52 = 382.71/x
  3. Step 3: Cross multiply
    461.69x = 636.52 × 382.71
  4. Step 4: Simplify right side
    461.69x = 243,602.57
  5. Step 5: Solve for x
    x = 243,602.57/461.69
  6. Step 6: Final answer
    x = 527.63

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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.