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Finding the Fourth Proportional to 383.34, 529 and 217.54

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Solution

The fourth proportional to 383.34, 529 and 217.54 is: 300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.34 : 529 = 217.54 : x
  2. Step 2: Convert to fraction form
    383.34/529 = 217.54/x
  3. Step 3: Cross multiply
    383.34x = 529 × 217.54
  4. Step 4: Simplify right side
    383.34x = 115,078.66
  5. Step 5: Solve for x
    x = 115,078.66/383.34
  6. Step 6: Final answer
    x = 300.20

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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.