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Finding the Fourth Proportional to 635.33, 953.06 and 202.38

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Solution

The fourth proportional to 635.33, 953.06 and 202.38 is: 303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.33 : 953.06 = 202.38 : x
  2. Step 2: Convert to fraction form
    635.33/953.06 = 202.38/x
  3. Step 3: Cross multiply
    635.33x = 953.06 × 202.38
  4. Step 4: Simplify right side
    635.33x = 192,879.27
  5. Step 5: Solve for x
    x = 192,879.27/635.33
  6. Step 6: Final answer
    x = 303.59

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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.