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Finding the Fourth Proportional to 628.88, 943.34 and 196.07

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Solution

The fourth proportional to 628.88, 943.34 and 196.07 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.88 : 943.34 = 196.07 : x
  2. Step 2: Convert to fraction form
    628.88/943.34 = 196.07/x
  3. Step 3: Cross multiply
    628.88x = 943.34 × 196.07
  4. Step 4: Simplify right side
    628.88x = 184,954.98
  5. Step 5: Solve for x
    x = 184,954.98/628.88
  6. Step 6: Final answer
    x = 294.10

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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.