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Finding the Fourth Proportional to 557.28, 769.02 and 321.27

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Solution

The fourth proportional to 557.28, 769.02 and 321.27 is: 443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 769.02 = 321.27 : x
  2. Step 2: Convert to fraction form
    557.28/769.02 = 321.27/x
  3. Step 3: Cross multiply
    557.28x = 769.02 × 321.27
  4. Step 4: Simplify right side
    557.28x = 247,064.38
  5. Step 5: Solve for x
    x = 247,064.38/557.28
  6. Step 6: Final answer
    x = 443.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.