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Finding the Fourth Proportional to 449.96, 674.66 and 176.04

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Solution

The fourth proportional to 449.96, 674.66 and 176.04 is: 263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.96 : 674.66 = 176.04 : x
  2. Step 2: Convert to fraction form
    449.96/674.66 = 176.04/x
  3. Step 3: Cross multiply
    449.96x = 674.66 × 176.04
  4. Step 4: Simplify right side
    449.96x = 118,767.59
  5. Step 5: Solve for x
    x = 118,767.59/449.96
  6. Step 6: Final answer
    x = 263.95

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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.