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Finding the Fourth Proportional to 635.91, 954.26 and 270.70

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Solution

The fourth proportional to 635.91, 954.26 and 270.70 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.91 : 954.26 = 270.70 : x
  2. Step 2: Convert to fraction form
    635.91/954.26 = 270.70/x
  3. Step 3: Cross multiply
    635.91x = 954.26 × 270.70
  4. Step 4: Simplify right side
    635.91x = 258,315.46
  5. Step 5: Solve for x
    x = 258,315.46/635.91
  6. Step 6: Final answer
    x = 406.22

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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.