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Finding the Fourth Proportional to 635.86, 953.55 and 270.82

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Solution

The fourth proportional to 635.86, 953.55 and 270.82 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.86 : 953.55 = 270.82 : x
  2. Step 2: Convert to fraction form
    635.86/953.55 = 270.82/x
  3. Step 3: Cross multiply
    635.86x = 953.55 × 270.82
  4. Step 4: Simplify right side
    635.86x = 258,240.41
  5. Step 5: Solve for x
    x = 258,240.41/635.86
  6. Step 6: Final answer
    x = 406.13

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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.