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Finding the Fourth Proportional to 383.65, 529.42 and 226.29

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Solution

The fourth proportional to 383.65, 529.42 and 226.29 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.65 : 529.42 = 226.29 : x
  2. Step 2: Convert to fraction form
    383.65/529.42 = 226.29/x
  3. Step 3: Cross multiply
    383.65x = 529.42 × 226.29
  4. Step 4: Simplify right side
    383.65x = 119,799.80
  5. Step 5: Solve for x
    x = 119,799.80/383.65
  6. Step 6: Final answer
    x = 312.26

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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.