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Finding the Fourth Proportional to 635.49, 953.39 and 202.64

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Solution

The fourth proportional to 635.49, 953.39 and 202.64 is: 304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.49 : 953.39 = 202.64 : x
  2. Step 2: Convert to fraction form
    635.49/953.39 = 202.64/x
  3. Step 3: Cross multiply
    635.49x = 953.39 × 202.64
  4. Step 4: Simplify right side
    635.49x = 193,190.69
  5. Step 5: Solve for x
    x = 193,190.69/635.49
  6. Step 6: Final answer
    x = 304.00

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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.