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Finding the Fourth Proportional to 383.57, 529.37 and 234.20

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Solution

The fourth proportional to 383.57, 529.37 and 234.20 is: 323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.57 : 529.37 = 234.20 : x
  2. Step 2: Convert to fraction form
    383.57/529.37 = 234.20/x
  3. Step 3: Cross multiply
    383.57x = 529.37 × 234.20
  4. Step 4: Simplify right side
    383.57x = 123,978.45
  5. Step 5: Solve for x
    x = 123,978.45/383.57
  6. Step 6: Final answer
    x = 323.22

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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.