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Finding the Fourth Proportional to 406.72, 609.89 and 252.64

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Solution

The fourth proportional to 406.72, 609.89 and 252.64 is: 378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 609.89 = 252.64 : x
  2. Step 2: Convert to fraction form
    406.72/609.89 = 252.64/x
  3. Step 3: Cross multiply
    406.72x = 609.89 × 252.64
  4. Step 4: Simplify right side
    406.72x = 154,082.61
  5. Step 5: Solve for x
    x = 154,082.61/406.72
  6. Step 6: Final answer
    x = 378.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.