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Finding the Fourth Proportional to 406.56, 561.16 and 251.44

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Solution

The fourth proportional to 406.56, 561.16 and 251.44 is: 347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 561.16 = 251.44 : x
  2. Step 2: Convert to fraction form
    406.56/561.16 = 251.44/x
  3. Step 3: Cross multiply
    406.56x = 561.16 × 251.44
  4. Step 4: Simplify right side
    406.56x = 141,098.07
  5. Step 5: Solve for x
    x = 141,098.07/406.56
  6. Step 6: Final answer
    x = 347.05

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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.