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Finding the Fourth Proportional to 635.86, 953.79 and 270.95

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Solution

The fourth proportional to 635.86, 953.79 and 270.95 is: 406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.86 : 953.79 = 270.95 : x
  2. Step 2: Convert to fraction form
    635.86/953.79 = 270.95/x
  3. Step 3: Cross multiply
    635.86x = 953.79 × 270.95
  4. Step 4: Simplify right side
    635.86x = 258,428.05
  5. Step 5: Solve for x
    x = 258,428.05/635.86
  6. Step 6: Final answer
    x = 406.43

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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.