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Finding the Fourth Proportional to 383.64, 529.49 and 217.92

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Solution

The fourth proportional to 383.64, 529.49 and 217.92 is: 300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 529.49 = 217.92 : x
  2. Step 2: Convert to fraction form
    383.64/529.49 = 217.92/x
  3. Step 3: Cross multiply
    383.64x = 529.49 × 217.92
  4. Step 4: Simplify right side
    383.64x = 115,382.72
  5. Step 5: Solve for x
    x = 115,382.72/383.64
  6. Step 6: Final answer
    x = 300.76

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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.