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Finding the Fourth Proportional to 383.12, 528.82 and 225.78

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Solution

The fourth proportional to 383.12, 528.82 and 225.78 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.12 : 528.82 = 225.78 : x
  2. Step 2: Convert to fraction form
    383.12/528.82 = 225.78/x
  3. Step 3: Cross multiply
    383.12x = 528.82 × 225.78
  4. Step 4: Simplify right side
    383.12x = 119,396.98
  5. Step 5: Solve for x
    x = 119,396.98/383.12
  6. Step 6: Final answer
    x = 311.64

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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.