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Finding the Fourth Proportional to 449.20, 620.13 and 302.02

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Solution

The fourth proportional to 449.20, 620.13 and 302.02 is: 416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.20 : 620.13 = 302.02 : x
  2. Step 2: Convert to fraction form
    449.20/620.13 = 302.02/x
  3. Step 3: Cross multiply
    449.20x = 620.13 × 302.02
  4. Step 4: Simplify right side
    449.20x = 187,291.66
  5. Step 5: Solve for x
    x = 187,291.66/449.20
  6. Step 6: Final answer
    x = 416.94

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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.