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Finding the Fourth Proportional to 383.97, 529.76 and 218.18

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Solution

The fourth proportional to 383.97, 529.76 and 218.18 is: 301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.97 : 529.76 = 218.18 : x
  2. Step 2: Convert to fraction form
    383.97/529.76 = 218.18/x
  3. Step 3: Cross multiply
    383.97x = 529.76 × 218.18
  4. Step 4: Simplify right side
    383.97x = 115,580.39
  5. Step 5: Solve for x
    x = 115,580.39/383.97
  6. Step 6: Final answer
    x = 301.02

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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.