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Finding the Fourth Proportional to 449.07, 618.99 and 301.44

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Solution

The fourth proportional to 449.07, 618.99 and 301.44 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.07 : 618.99 = 301.44 : x
  2. Step 2: Convert to fraction form
    449.07/618.99 = 301.44/x
  3. Step 3: Cross multiply
    449.07x = 618.99 × 301.44
  4. Step 4: Simplify right side
    449.07x = 186,588.35
  5. Step 5: Solve for x
    x = 186,588.35/449.07
  6. Step 6: Final answer
    x = 415.50

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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.