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Finding the Fourth Proportional to 447.63, 674.08 and 332.89

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Solution

The fourth proportional to 447.63, 674.08 and 332.89 is: 501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.63 : 674.08 = 332.89 : x
  2. Step 2: Convert to fraction form
    447.63/674.08 = 332.89/x
  3. Step 3: Cross multiply
    447.63x = 674.08 × 332.89
  4. Step 4: Simplify right side
    447.63x = 224,394.49
  5. Step 5: Solve for x
    x = 224,394.49/447.63
  6. Step 6: Final answer
    x = 501.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.