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Finding the Fourth Proportional to 447.10, 669.76 and 264.04

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Solution

The fourth proportional to 447.10, 669.76 and 264.04 is: 395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.10 : 669.76 = 264.04 : x
  2. Step 2: Convert to fraction form
    447.10/669.76 = 264.04/x
  3. Step 3: Cross multiply
    447.10x = 669.76 × 264.04
  4. Step 4: Simplify right side
    447.10x = 176,843.43
  5. Step 5: Solve for x
    x = 176,843.43/447.10
  6. Step 6: Final answer
    x = 395.53

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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.