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Finding the Fourth Proportional to 635.92, 953.82 and 202.84

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Solution

The fourth proportional to 635.92, 953.82 and 202.84 is: 304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.92 : 953.82 = 202.84 : x
  2. Step 2: Convert to fraction form
    635.92/953.82 = 202.84/x
  3. Step 3: Cross multiply
    635.92x = 953.82 × 202.84
  4. Step 4: Simplify right side
    635.92x = 193,472.85
  5. Step 5: Solve for x
    x = 193,472.85/635.92
  6. Step 6: Final answer
    x = 304.24

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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.