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Finding the Fourth Proportional to 636.76, 878.58 and 461.80

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Solution

The fourth proportional to 636.76, 878.58 and 461.80 is: 637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.76 : 878.58 = 461.80 : x
  2. Step 2: Convert to fraction form
    636.76/878.58 = 461.80/x
  3. Step 3: Cross multiply
    636.76x = 878.58 × 461.80
  4. Step 4: Simplify right side
    636.76x = 405,728.24
  5. Step 5: Solve for x
    x = 405,728.24/636.76
  6. Step 6: Final answer
    x = 637.18

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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.