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Finding the Fourth Proportional to 635.78, 954.07 and 270.57

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Solution

The fourth proportional to 635.78, 954.07 and 270.57 is: 406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.78 : 954.07 = 270.57 : x
  2. Step 2: Convert to fraction form
    635.78/954.07 = 270.57/x
  3. Step 3: Cross multiply
    635.78x = 954.07 × 270.57
  4. Step 4: Simplify right side
    635.78x = 258,142.72
  5. Step 5: Solve for x
    x = 258,142.72/635.78
  6. Step 6: Final answer
    x = 406.03

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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.