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Finding the Fourth Proportional to 634.31, 951.57 and 201.57

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Solution

The fourth proportional to 634.31, 951.57 and 201.57 is: 302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.31 : 951.57 = 201.57 : x
  2. Step 2: Convert to fraction form
    634.31/951.57 = 201.57/x
  3. Step 3: Cross multiply
    634.31x = 951.57 × 201.57
  4. Step 4: Simplify right side
    634.31x = 191,807.96
  5. Step 5: Solve for x
    x = 191,807.96/634.31
  6. Step 6: Final answer
    x = 302.39

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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.