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Finding the Fourth Proportional to 383.86, 529.80 and 226.48

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Solution

The fourth proportional to 383.86, 529.80 and 226.48 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.86 : 529.80 = 226.48 : x
  2. Step 2: Convert to fraction form
    383.86/529.80 = 226.48/x
  3. Step 3: Cross multiply
    383.86x = 529.80 × 226.48
  4. Step 4: Simplify right side
    383.86x = 119,989.86
  5. Step 5: Solve for x
    x = 119,989.86/383.86
  6. Step 6: Final answer
    x = 312.59

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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.