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Finding the Fourth Proportional to 406.69, 561.30 and 266.56

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Solution

The fourth proportional to 406.69, 561.30 and 266.56 is: 367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 561.30 = 266.56 : x
  2. Step 2: Convert to fraction form
    406.69/561.30 = 266.56/x
  3. Step 3: Cross multiply
    406.69x = 561.30 × 266.56
  4. Step 4: Simplify right side
    406.69x = 149,617.73
  5. Step 5: Solve for x
    x = 149,617.73/406.69
  6. Step 6: Final answer
    x = 367.89

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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.