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Finding the Fourth Proportional to 449.91, 674.90 and 176.02

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Solution

The fourth proportional to 449.91, 674.90 and 176.02 is: 264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.91 : 674.90 = 176.02 : x
  2. Step 2: Convert to fraction form
    449.91/674.90 = 176.02/x
  3. Step 3: Cross multiply
    449.91x = 674.90 × 176.02
  4. Step 4: Simplify right side
    449.91x = 118,795.90
  5. Step 5: Solve for x
    x = 118,795.90/449.91
  6. Step 6: Final answer
    x = 264.04

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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.