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Finding the Fourth Proportional to 635.77, 953.07 and 270.35

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Solution

The fourth proportional to 635.77, 953.07 and 270.35 is: 405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.77 : 953.07 = 270.35 : x
  2. Step 2: Convert to fraction form
    635.77/953.07 = 270.35/x
  3. Step 3: Cross multiply
    635.77x = 953.07 × 270.35
  4. Step 4: Simplify right side
    635.77x = 257,662.47
  5. Step 5: Solve for x
    x = 257,662.47/635.77
  6. Step 6: Final answer
    x = 405.28

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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.