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Finding the Fourth Proportional to 383.41, 529.23 and 226.09

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Solution

The fourth proportional to 383.41, 529.23 and 226.09 is: 312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.41 : 529.23 = 226.09 : x
  2. Step 2: Convert to fraction form
    383.41/529.23 = 226.09/x
  3. Step 3: Cross multiply
    383.41x = 529.23 × 226.09
  4. Step 4: Simplify right side
    383.41x = 119,653.61
  5. Step 5: Solve for x
    x = 119,653.61/383.41
  6. Step 6: Final answer
    x = 312.08

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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.