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Finding the Fourth Proportional to 383.87, 529.81 and 218.13

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Solution

The fourth proportional to 383.87, 529.81 and 218.13 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.87 : 529.81 = 218.13 : x
  2. Step 2: Convert to fraction form
    383.87/529.81 = 218.13/x
  3. Step 3: Cross multiply
    383.87x = 529.81 × 218.13
  4. Step 4: Simplify right side
    383.87x = 115,564.92
  5. Step 5: Solve for x
    x = 115,564.92/383.87
  6. Step 6: Final answer
    x = 301.05

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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.