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Finding the Fourth Proportional to 383.50, 529.22 and 217.74

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Solution

The fourth proportional to 383.50, 529.22 and 217.74 is: 300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.50 : 529.22 = 217.74 : x
  2. Step 2: Convert to fraction form
    383.50/529.22 = 217.74/x
  3. Step 3: Cross multiply
    383.50x = 529.22 × 217.74
  4. Step 4: Simplify right side
    383.50x = 115,232.36
  5. Step 5: Solve for x
    x = 115,232.36/383.50
  6. Step 6: Final answer
    x = 300.48

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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.