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Finding the Fourth Proportional to 635.24, 953.27 and 270.14

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Solution

The fourth proportional to 635.24, 953.27 and 270.14 is: 405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 953.27 = 270.14 : x
  2. Step 2: Convert to fraction form
    635.24/953.27 = 270.14/x
  3. Step 3: Cross multiply
    635.24x = 953.27 × 270.14
  4. Step 4: Simplify right side
    635.24x = 257,511.25
  5. Step 5: Solve for x
    x = 257,511.25/635.24
  6. Step 6: Final answer
    x = 405.37

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Why These Related Problems?

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