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Finding the Fourth Proportional to 383.25, 528.81 and 217.47

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Solution

The fourth proportional to 383.25, 528.81 and 217.47 is: 300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.25 : 528.81 = 217.47 : x
  2. Step 2: Convert to fraction form
    383.25/528.81 = 217.47/x
  3. Step 3: Cross multiply
    383.25x = 528.81 × 217.47
  4. Step 4: Simplify right side
    383.25x = 115,000.31
  5. Step 5: Solve for x
    x = 115,000.31/383.25
  6. Step 6: Final answer
    x = 300.07

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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.