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Finding the Fourth Proportional to 531.23, 732.97 and 321.34

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Solution

The fourth proportional to 531.23, 732.97 and 321.34 is: 443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.23 : 732.97 = 321.34 : x
  2. Step 2: Convert to fraction form
    531.23/732.97 = 321.34/x
  3. Step 3: Cross multiply
    531.23x = 732.97 × 321.34
  4. Step 4: Simplify right side
    531.23x = 235,529.94
  5. Step 5: Solve for x
    x = 235,529.94/531.23
  6. Step 6: Final answer
    x = 443.37

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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.