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Finding the Fourth Proportional to 383.85, 529.74 and 218.12

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Solution

The fourth proportional to 383.85, 529.74 and 218.12 is: 301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.85 : 529.74 = 218.12 : x
  2. Step 2: Convert to fraction form
    383.85/529.74 = 218.12/x
  3. Step 3: Cross multiply
    383.85x = 529.74 × 218.12
  4. Step 4: Simplify right side
    383.85x = 115,544.24
  5. Step 5: Solve for x
    x = 115,544.24/383.85
  6. Step 6: Final answer
    x = 301.01

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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.