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Finding the Fourth Proportional to 449.11, 619.44 and 301.51

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Solution

The fourth proportional to 449.11, 619.44 and 301.51 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.11 : 619.44 = 301.51 : x
  2. Step 2: Convert to fraction form
    449.11/619.44 = 301.51/x
  3. Step 3: Cross multiply
    449.11x = 619.44 × 301.51
  4. Step 4: Simplify right side
    449.11x = 186,767.35
  5. Step 5: Solve for x
    x = 186,767.35/449.11
  6. Step 6: Final answer
    x = 415.86

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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.