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Finding the Fourth Proportional to 406.62, 561.13 and 249.28

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Solution

The fourth proportional to 406.62, 561.13 and 249.28 is: 344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 561.13 = 249.28 : x
  2. Step 2: Convert to fraction form
    406.62/561.13 = 249.28/x
  3. Step 3: Cross multiply
    406.62x = 561.13 × 249.28
  4. Step 4: Simplify right side
    406.62x = 139,876.46
  5. Step 5: Solve for x
    x = 139,876.46/406.62
  6. Step 6: Final answer
    x = 344.00

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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.