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Finding the Fourth Proportional to 634.87, 952.28 and 202.04

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Solution

The fourth proportional to 634.87, 952.28 and 202.04 is: 303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.87 : 952.28 = 202.04 : x
  2. Step 2: Convert to fraction form
    634.87/952.28 = 202.04/x
  3. Step 3: Cross multiply
    634.87x = 952.28 × 202.04
  4. Step 4: Simplify right side
    634.87x = 192,392.88
  5. Step 5: Solve for x
    x = 192,392.88/634.87
  6. Step 6: Final answer
    x = 303.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.