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Finding the Fourth Proportional to 635.80, 876.63 and 494.05

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Solution

The fourth proportional to 635.80, 876.63 and 494.05 is: 681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.80 : 876.63 = 494.05 : x
  2. Step 2: Convert to fraction form
    635.80/876.63 = 494.05/x
  3. Step 3: Cross multiply
    635.80x = 876.63 × 494.05
  4. Step 4: Simplify right side
    635.80x = 433,098.71
  5. Step 5: Solve for x
    x = 433,098.71/635.80
  6. Step 6: Final answer
    x = 681.19

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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.