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Finding the Fourth Proportional to 461.19, 636.61 and 284.18

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Solution

The fourth proportional to 461.19, 636.61 and 284.18 is: 392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.19 : 636.61 = 284.18 : x
  2. Step 2: Convert to fraction form
    461.19/636.61 = 284.18/x
  3. Step 3: Cross multiply
    461.19x = 636.61 × 284.18
  4. Step 4: Simplify right side
    461.19x = 180,912.54
  5. Step 5: Solve for x
    x = 180,912.54/461.19
  6. Step 6: Final answer
    x = 392.27

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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.