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Finding the Fourth Proportional to 449.24, 619.86 and 302.06

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Solution

The fourth proportional to 449.24, 619.86 and 302.06 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.24 : 619.86 = 302.06 : x
  2. Step 2: Convert to fraction form
    449.24/619.86 = 302.06/x
  3. Step 3: Cross multiply
    449.24x = 619.86 × 302.06
  4. Step 4: Simplify right side
    449.24x = 187,234.91
  5. Step 5: Solve for x
    x = 187,234.91/449.24
  6. Step 6: Final answer
    x = 416.78

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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.