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Finding the Fourth Proportional to 402.87, 604.40 and 128.96

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Solution

The fourth proportional to 402.87, 604.40 and 128.96 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.87 : 604.40 = 128.96 : x
  2. Step 2: Convert to fraction form
    402.87/604.40 = 128.96/x
  3. Step 3: Cross multiply
    402.87x = 604.40 × 128.96
  4. Step 4: Simplify right side
    402.87x = 77,942.02
  5. Step 5: Solve for x
    x = 77,942.02/402.87
  6. Step 6: Final answer
    x = 193.47

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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.