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Finding the Fourth Proportional to 463.82, 693.01 and 447.68

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Solution

The fourth proportional to 463.82, 693.01 and 447.68 is: 668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.82 : 693.01 = 447.68 : x
  2. Step 2: Convert to fraction form
    463.82/693.01 = 447.68/x
  3. Step 3: Cross multiply
    463.82x = 693.01 × 447.68
  4. Step 4: Simplify right side
    463.82x = 310,243.25
  5. Step 5: Solve for x
    x = 310,243.25/463.82
  6. Step 6: Final answer
    x = 668.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.