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Finding the Fourth Proportional to 449.52, 674.52 and 295.68

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Solution

The fourth proportional to 449.52, 674.52 and 295.68 is: 443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.52 : 674.52 = 295.68 : x
  2. Step 2: Convert to fraction form
    449.52/674.52 = 295.68/x
  3. Step 3: Cross multiply
    449.52x = 674.52 × 295.68
  4. Step 4: Simplify right side
    449.52x = 199,442.07
  5. Step 5: Solve for x
    x = 199,442.07/449.52
  6. Step 6: Final answer
    x = 443.68

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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.