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Finding the Fourth Proportional to 406.94, 561.55 and 241.09

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Solution

The fourth proportional to 406.94, 561.55 and 241.09 is: 332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.94 : 561.55 = 241.09 : x
  2. Step 2: Convert to fraction form
    406.94/561.55 = 241.09/x
  3. Step 3: Cross multiply
    406.94x = 561.55 × 241.09
  4. Step 4: Simplify right side
    406.94x = 135,384.09
  5. Step 5: Solve for x
    x = 135,384.09/406.94
  6. Step 6: Final answer
    x = 332.69

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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.