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Finding the Fourth Proportional to 635.40, 952.56 and 270.18

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Solution

The fourth proportional to 635.40, 952.56 and 270.18 is: 405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.40 : 952.56 = 270.18 : x
  2. Step 2: Convert to fraction form
    635.40/952.56 = 270.18/x
  3. Step 3: Cross multiply
    635.40x = 952.56 × 270.18
  4. Step 4: Simplify right side
    635.40x = 257,362.66
  5. Step 5: Solve for x
    x = 257,362.66/635.40
  6. Step 6: Final answer
    x = 405.04

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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.