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Finding the Fourth Proportional to 383.71, 529.51 and 217.96

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Solution

The fourth proportional to 383.71, 529.51 and 217.96 is: 300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.71 : 529.51 = 217.96 : x
  2. Step 2: Convert to fraction form
    383.71/529.51 = 217.96/x
  3. Step 3: Cross multiply
    383.71x = 529.51 × 217.96
  4. Step 4: Simplify right side
    383.71x = 115,412.00
  5. Step 5: Solve for x
    x = 115,412.00/383.71
  6. Step 6: Final answer
    x = 300.78

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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.