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Finding the Fourth Proportional to 635.45, 953.24 and 202.51

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Solution

The fourth proportional to 635.45, 953.24 and 202.51 is: 303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.45 : 953.24 = 202.51 : x
  2. Step 2: Convert to fraction form
    635.45/953.24 = 202.51/x
  3. Step 3: Cross multiply
    635.45x = 953.24 × 202.51
  4. Step 4: Simplify right side
    635.45x = 193,036.37
  5. Step 5: Solve for x
    x = 193,036.37/635.45
  6. Step 6: Final answer
    x = 303.78

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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.