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Finding the Fourth Proportional to 406.37, 560.78 and 249.27

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Solution

The fourth proportional to 406.37, 560.78 and 249.27 is: 343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.37 : 560.78 = 249.27 : x
  2. Step 2: Convert to fraction form
    406.37/560.78 = 249.27/x
  3. Step 3: Cross multiply
    406.37x = 560.78 × 249.27
  4. Step 4: Simplify right side
    406.37x = 139,785.63
  5. Step 5: Solve for x
    x = 139,785.63/406.37
  6. Step 6: Final answer
    x = 343.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.