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Finding the Fourth Proportional to 628.89, 943.35 and 196.05

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Solution

The fourth proportional to 628.89, 943.35 and 196.05 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.89 : 943.35 = 196.05 : x
  2. Step 2: Convert to fraction form
    628.89/943.35 = 196.05/x
  3. Step 3: Cross multiply
    628.89x = 943.35 × 196.05
  4. Step 4: Simplify right side
    628.89x = 184,943.77
  5. Step 5: Solve for x
    x = 184,943.77/628.89
  6. Step 6: Final answer
    x = 294.08

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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.