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Finding the Fourth Proportional to 459.45, 634.03 and 249.62

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Solution

The fourth proportional to 459.45, 634.03 and 249.62 is: 344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.45 : 634.03 = 249.62 : x
  2. Step 2: Convert to fraction form
    459.45/634.03 = 249.62/x
  3. Step 3: Cross multiply
    459.45x = 634.03 × 249.62
  4. Step 4: Simplify right side
    459.45x = 158,267.99
  5. Step 5: Solve for x
    x = 158,267.99/459.45
  6. Step 6: Final answer
    x = 344.48

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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.