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Finding the Fourth Proportional to 383.24, 528.89 and 217.47

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Solution

The fourth proportional to 383.24, 528.89 and 217.47 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 528.89 = 217.47 : x
  2. Step 2: Convert to fraction form
    383.24/528.89 = 217.47/x
  3. Step 3: Cross multiply
    383.24x = 528.89 × 217.47
  4. Step 4: Simplify right side
    383.24x = 115,016.62
  5. Step 5: Solve for x
    x = 115,016.62/383.24
  6. Step 6: Final answer
    x = 300.12

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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.