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Finding the Fourth Proportional to 634.84, 952.02 and 201.76

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Solution

The fourth proportional to 634.84, 952.02 and 201.76 is: 302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.84 : 952.02 = 201.76 : x
  2. Step 2: Convert to fraction form
    634.84/952.02 = 201.76/x
  3. Step 3: Cross multiply
    634.84x = 952.02 × 201.76
  4. Step 4: Simplify right side
    634.84x = 192,079.56
  5. Step 5: Solve for x
    x = 192,079.56/634.84
  6. Step 6: Final answer
    x = 302.56

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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.