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Finding the Fourth Proportional to 449.14, 619.77 and 249.95

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Solution

The fourth proportional to 449.14, 619.77 and 249.95 is: 344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.14 : 619.77 = 249.95 : x
  2. Step 2: Convert to fraction form
    449.14/619.77 = 249.95/x
  3. Step 3: Cross multiply
    449.14x = 619.77 × 249.95
  4. Step 4: Simplify right side
    449.14x = 154,911.51
  5. Step 5: Solve for x
    x = 154,911.51/449.14
  6. Step 6: Final answer
    x = 344.91

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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.