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Finding the Fourth Proportional to 635.72, 953.78 and 270.54

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Solution

The fourth proportional to 635.72, 953.78 and 270.54 is: 405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.72 : 953.78 = 270.54 : x
  2. Step 2: Convert to fraction form
    635.72/953.78 = 270.54/x
  3. Step 3: Cross multiply
    635.72x = 953.78 × 270.54
  4. Step 4: Simplify right side
    635.72x = 258,034.29
  5. Step 5: Solve for x
    x = 258,034.29/635.72
  6. Step 6: Final answer
    x = 405.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.