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Finding the Fourth Proportional to 406.28, 559.86 and 266.24

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Solution

The fourth proportional to 406.28, 559.86 and 266.24 is: 366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.28 : 559.86 = 266.24 : x
  2. Step 2: Convert to fraction form
    406.28/559.86 = 266.24/x
  3. Step 3: Cross multiply
    406.28x = 559.86 × 266.24
  4. Step 4: Simplify right side
    406.28x = 149,057.13
  5. Step 5: Solve for x
    x = 149,057.13/406.28
  6. Step 6: Final answer
    x = 366.88

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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.