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Finding the Fourth Proportional to 406.50, 561 and 251.28

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Solution

The fourth proportional to 406.50, 561 and 251.28 is: 346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 561 = 251.28 : x
  2. Step 2: Convert to fraction form
    406.50/561 = 251.28/x
  3. Step 3: Cross multiply
    406.50x = 561 × 251.28
  4. Step 4: Simplify right side
    406.50x = 140,968.08
  5. Step 5: Solve for x
    x = 140,968.08/406.50
  6. Step 6: Final answer
    x = 346.78

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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.