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Finding the Fourth Proportional to 635.74, 952.77 and 270.07

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Solution

The fourth proportional to 635.74, 952.77 and 270.07 is: 404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.74 : 952.77 = 270.07 : x
  2. Step 2: Convert to fraction form
    635.74/952.77 = 270.07/x
  3. Step 3: Cross multiply
    635.74x = 952.77 × 270.07
  4. Step 4: Simplify right side
    635.74x = 257,313.24
  5. Step 5: Solve for x
    x = 257,313.24/635.74
  6. Step 6: Final answer
    x = 404.75

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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.