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Finding the Fourth Proportional to 635.84, 953.15 and 202.70

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Solution

The fourth proportional to 635.84, 953.15 and 202.70 is: 303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.84 : 953.15 = 202.70 : x
  2. Step 2: Convert to fraction form
    635.84/953.15 = 202.70/x
  3. Step 3: Cross multiply
    635.84x = 953.15 × 202.70
  4. Step 4: Simplify right side
    635.84x = 193,197.73
  5. Step 5: Solve for x
    x = 193,197.73/635.84
  6. Step 6: Final answer
    x = 303.85

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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.