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Finding the Fourth Proportional to 383.53, 529.22 and 226.21

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Solution

The fourth proportional to 383.53, 529.22 and 226.21 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.53 : 529.22 = 226.21 : x
  2. Step 2: Convert to fraction form
    383.53/529.22 = 226.21/x
  3. Step 3: Cross multiply
    383.53x = 529.22 × 226.21
  4. Step 4: Simplify right side
    383.53x = 119,714.10
  5. Step 5: Solve for x
    x = 119,714.10/383.53
  6. Step 6: Final answer
    x = 312.14

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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.