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Finding the Fourth Proportional to 557.39, 769.22 and 321.42

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Solution

The fourth proportional to 557.39, 769.22 and 321.42 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.39 : 769.22 = 321.42 : x
  2. Step 2: Convert to fraction form
    557.39/769.22 = 321.42/x
  3. Step 3: Cross multiply
    557.39x = 769.22 × 321.42
  4. Step 4: Simplify right side
    557.39x = 247,242.69
  5. Step 5: Solve for x
    x = 247,242.69/557.39
  6. Step 6: Final answer
    x = 443.57

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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.