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Finding the Fourth Proportional to 406.72, 561.24 and 251.44

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Solution

The fourth proportional to 406.72, 561.24 and 251.44 is: 346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 561.24 = 251.44 : x
  2. Step 2: Convert to fraction form
    406.72/561.24 = 251.44/x
  3. Step 3: Cross multiply
    406.72x = 561.24 × 251.44
  4. Step 4: Simplify right side
    406.72x = 141,118.19
  5. Step 5: Solve for x
    x = 141,118.19/406.72
  6. Step 6: Final answer
    x = 346.97

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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.