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Finding the Fourth Proportional to 557.44, 769.05 and 321.34

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Solution

The fourth proportional to 557.44, 769.05 and 321.34 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 769.05 = 321.34 : x
  2. Step 2: Convert to fraction form
    557.44/769.05 = 321.34/x
  3. Step 3: Cross multiply
    557.44x = 769.05 × 321.34
  4. Step 4: Simplify right side
    557.44x = 247,126.53
  5. Step 5: Solve for x
    x = 247,126.53/557.44
  6. Step 6: Final answer
    x = 443.32

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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.