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Finding the Fourth Proportional to 383.49, 529.20 and 217.69

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Solution

The fourth proportional to 383.49, 529.20 and 217.69 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.49 : 529.20 = 217.69 : x
  2. Step 2: Convert to fraction form
    383.49/529.20 = 217.69/x
  3. Step 3: Cross multiply
    383.49x = 529.20 × 217.69
  4. Step 4: Simplify right side
    383.49x = 115,204.31
  5. Step 5: Solve for x
    x = 115,204.31/383.49
  6. Step 6: Final answer
    x = 300.41

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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.