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Finding the Fourth Proportional to 383.22, 528.74 and 225.80

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Solution

The fourth proportional to 383.22, 528.74 and 225.80 is: 311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.22 : 528.74 = 225.80 : x
  2. Step 2: Convert to fraction form
    383.22/528.74 = 225.80/x
  3. Step 3: Cross multiply
    383.22x = 528.74 × 225.80
  4. Step 4: Simplify right side
    383.22x = 119,385.72
  5. Step 5: Solve for x
    x = 119,385.72/383.22
  6. Step 6: Final answer
    x = 311.53

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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.