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Finding the Fourth Proportional to 557.37, 769.14 and 321.32

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Solution

The fourth proportional to 557.37, 769.14 and 321.32 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.37 : 769.14 = 321.32 : x
  2. Step 2: Convert to fraction form
    557.37/769.14 = 321.32/x
  3. Step 3: Cross multiply
    557.37x = 769.14 × 321.32
  4. Step 4: Simplify right side
    557.37x = 247,141.99
  5. Step 5: Solve for x
    x = 247,141.99/557.37
  6. Step 6: Final answer
    x = 443.41

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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.