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Finding the Fourth Proportional to 383.39, 529.10 and 217.63

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Solution

The fourth proportional to 383.39, 529.10 and 217.63 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.39 : 529.10 = 217.63 : x
  2. Step 2: Convert to fraction form
    383.39/529.10 = 217.63/x
  3. Step 3: Cross multiply
    383.39x = 529.10 × 217.63
  4. Step 4: Simplify right side
    383.39x = 115,147.25
  5. Step 5: Solve for x
    x = 115,147.25/383.39
  6. Step 6: Final answer
    x = 300.34

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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.