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Finding the Fourth Proportional to 449.74, 674.74 and 304.08

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Solution

The fourth proportional to 449.74, 674.74 and 304.08 is: 456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.74 : 674.74 = 304.08 : x
  2. Step 2: Convert to fraction form
    449.74/674.74 = 304.08/x
  3. Step 3: Cross multiply
    449.74x = 674.74 × 304.08
  4. Step 4: Simplify right side
    449.74x = 205,174.94
  5. Step 5: Solve for x
    x = 205,174.94/449.74
  6. Step 6: Final answer
    x = 456.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.