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Finding the Fourth Proportional to 635.22, 875.61 and 401.94

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Solution

The fourth proportional to 635.22, 875.61 and 401.94 is: 554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 875.61 = 401.94 : x
  2. Step 2: Convert to fraction form
    635.22/875.61 = 401.94/x
  3. Step 3: Cross multiply
    635.22x = 875.61 × 401.94
  4. Step 4: Simplify right side
    635.22x = 351,942.68
  5. Step 5: Solve for x
    x = 351,942.68/635.22
  6. Step 6: Final answer
    x = 554.05

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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.